105756651072 has 336 divisors, whose sum is σ = 321353809920. Its totient is φ = 33187359744.

The previous prime is 105756651067. The next prime is 105756651101. The reversal of 105756651072 is 270156657501.

105756651072 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 5 + 66 + 510 + 72 = 666.

105756651072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105756651072² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402116413 + ... + 402116675.

Almost surely, 2^105756651072 is an apocalyptic number.

105756651072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105756651072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160676904960).

105756651072 is an abundant number, since it is smaller than the sum of its proper divisors (215597158848).

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

105756651072 is a wasteful number, since it uses less digits than its factorization.

105756651072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 105756651072 in words is "one hundred five billion, seven hundred fifty-six million, six hundred fifty-one thousand, seventy-two".