100706712157056 has 256 divisors, whose sum is σ = 288870712416000. Its totient is φ = 30982645628928.

The previous prime is 100706712157033. The next prime is 100706712157087. The reversal of 100706712157056 is 650751217607001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100706712156996 and 100706712157014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121627596 + ... + 122452788.

It is an arithmetic number, because the mean of its divisors is an integer number (1128401220375).

Almost surely, 2^{100706712157056} is an apocalyptic number.

100706712157056 is a gapful number since it is divisible by the number (16) 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 100706712157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144435356208000).

100706712157056 is an abundant number, since it is smaller than the sum of its proper divisors (188164000258944).

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

100706712157056 is a wasteful number, since it uses less digits than its factorization.

100706712157056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825661 (or 825649 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 48.

The spelling of 100706712157056 in words is "one hundred trillion, seven hundred six billion, seven hundred twelve million, one hundred fifty-seven thousand, fifty-six".