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106548078912 = 26311411230461
BaseRepresentation
bin110001100111011000…
…0101010100101000000
3101012000112000012211220
41203032300222211000
53221202302011122
6120540355035040
710461234504402
oct1431660524500
9335015005756
10106548078912
1141206681770
121879689ba80
13a0802c5452
14522a97cb72
152b8903625c
hex18cec2a940

106548078912 has 112 divisors (see below), whose sum is σ = 315037646784. Its totient is φ = 31499776000.

The previous prime is 106548078911. The next prime is 106548079013. The reversal of 106548078912 is 219870845601.

It is a super-2 number, since 2×1065480789122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106548078911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528639 + ... + 701822.

It is an arithmetic number, because the mean of its divisors is an integer number (2812836132).

Almost surely, 2106548078912 is an apocalyptic number.

106548078912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106548078912 is an abundant number, since it is smaller than the sum of its proper divisors (208489567872).

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

106548078912 is a wasteful number, since it uses less digits than its factorization.

106548078912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230528 (or 1230518 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 106548078912 in words is "one hundred six billion, five hundred forty-eight million, seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 132 164 176 192 246 264 328 352 451 492 528 656 704 902 984 1056 1312 1353 1804 1968 2112 2624 2706 3608 3936 5412 7216 7872 10824 14432 21648 28864 43296 86592 1230461 2460922 3691383 4921844 7382766 9843688 13535071 14765532 19687376 27070142 29531064 39374752 40605213 50448901 54140284 59062128 78749504 81210426 100897802 108280568 118124256 151346703 162420852 201795604 216561136 236248512 302693406 324841704 403591208 433122272 554937911 605386812 649683408 807182416 866244544 1109875822 1210773624 1299366816 1614364832 1664813733 2219751644 2421547248 2598733632 3228729664 3329627466 4439503288 4843094496 6659254932 8879006576 9686188992 13318509864 17758013152 26637019728 35516026304 53274039456 106548078912