106792556760 has 64 divisors (see below), whose sum is σ = 355975192800. Its totient is φ = 28478014848.

The previous prime is 106792556699. The next prime is 106792556791. The reversal of 106792556760 is 67655297601.

106792556760 is a `hidden beast` number, since 1 + 0 + 6 + 79 + 2 + 5 + 567 + 6 + 0 = 666.

It is a super-2 number, since 2×106792556760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106792556697 and 106792556706.

It is a congruent number.

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, 49439919 + ... + 49442078.

Almost surely, 2^106792556760 is an apocalyptic number.

106792556760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106792556760 is an abundant number, since it is smaller than the sum of its proper divisors (249182636040).

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

106792556760 is a wasteful number, since it uses less digits than its factorization.

106792556760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98882017 (or 98882007 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 106792556760 in words is "one hundred six billion, seven hundred ninety-two million, five hundred fifty-six thousand, seven hundred sixty".