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107107397760 = 2735115071373
BaseRepresentation
bin110001111000000011…
…0010011000010000000
3101020110111110120001210
41203300012103002000
53223323443212020
6121112055130120
710511135600526
oct1436006230200
9336414416053
10107107397760
1141473374250
1218912073940
13a13c14944c
145280d76316
152bbd1ba3e0
hex18f0193080

107107397760 has 128 divisors (see below), whose sum is σ = 372441706560. Its totient is φ = 25965424640.

The previous prime is 107107397743. The next prime is 107107397777. The reversal of 107107397760 is 67793701701.

It is an interprime number because it is at equal distance from previous prime (107107397743) and next prime (107107397777).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1071073977602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2514567 + ... + 2556806.

Almost surely, 2107107397760 is an apocalyptic number.

107107397760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107107397760 is an abundant number, since it is smaller than the sum of its proper divisors (265334308800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107107397760 is a wasteful number, since it uses less digits than its factorization.

107107397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071406 (or 5071394 counting only the distinct ones).

The product of its (nonzero) digits is 388962, while the sum is 48.

The spelling of 107107397760 in words is "one hundred seven billion, one hundred seven million, three hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 5071373 10142746 15214119 20285492 25356865 30428238 40570984 50713730 55785103 60856476 76070595 81141968 101427460 111570206 121712952 152141190 162283936 167355309 202854920 223140412 243425904 278925515 304282380 324567872 334710618 405709840 446280824 486851808 557851030 608564760 649135744 669421236 811419680 836776545 892561648 973703616 1115702060 1217129520 1338842472 1622839360 1673553090 1785123296 1947407232 2231404120 2434259040 2677684944 3245678720 3347106180 3570246592 4462808240 4868518080 5355369888 6694212360 7140493184 8925616480 9737036160 10710739776 13388424720 17851232960 21421479552 26776849440 35702465920 53553698880 107107397760