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107408025 = 3452293159
BaseRepresentation
bin1100110011011…
…10101010011001
321111002220010000
412121232222121
5204444024100
614354043213
72442644634
oct631565231
9244086100
10107408025
11556a126a
122bb79509
131933865a
141039cc1b
159669900
hex666ea99

107408025 has 120 divisors (see below), whose sum is σ = 216057600. Its totient is φ = 52617600.

The previous prime is 107408011. The next prime is 107408027. The reversal of 107408025 is 520804701.

It is not a de Polignac number, because 107408025 - 24 = 107408009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 107408025.

It is not an unprimeable number, because it can be changed into a prime (107408027) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1820446 + ... + 1820504.

It is an arithmetic number, because the mean of its divisors is an integer number (1800480).

Almost surely, 2107408025 is an apocalyptic number.

107408025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107408025 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

107408025 is a wasteful number, since it uses less digits than its factorization.

107408025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 107408025 is about 10363.7842991834. The cubic root of 107408025 is about 475.3486267955.

The spelling of 107408025 in words is "one hundred seven million, four hundred eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 29 31 45 59 75 81 87 93 135 145 155 177 225 261 279 295 405 435 465 531 675 725 775 783 837 885 899 1305 1395 1475 1593 1711 1829 2025 2175 2325 2349 2511 2655 2697 3915 4185 4425 4495 4779 5133 5487 6525 6975 7965 8091 8555 9145 11745 12555 13275 13485 15399 16461 19575 20925 22475 23895 24273 25665 27435 39825 40455 42775 45725 46197 49383 53041 58725 62775 67425 72819 76995 82305 119475 121365 128325 137175 138591 148149 159123 202275 230985 246915 265205 364095 384975 411525 477369 606825 692955 740745 795615 1154925 1234575 1326025 1432107 1820475 2386845 3464775 3703725 3978075 4296321 7160535 11934225 21481605 35802675 107408025