100945648717056 has 432 divisors, whose sum is σ = 342648652469760. Its totient is φ = 28177552097280.

The previous prime is 100945648717037. The next prime is 100945648717057. The reversal of 100945648717056 is 650717846549001.

100945648717056 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 4 + 564 + 8 + 7 + 17 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100945648716984 and 100945648717002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100945648717057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157497270 + ... + 158136906.

Almost surely, 2^{100945648717056} is an apocalyptic number.

100945648717056 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 100945648717056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171324326234880).

100945648717056 is an abundant number, since it is smaller than the sum of its proper divisors (241703003752704).

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

100945648717056 is a wasteful number, since it uses less digits than its factorization.

100945648717056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640162 (or 640145 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 100945648717056 in words is "one hundred trillion, nine hundred forty-five billion, six hundred forty-eight million, seven hundred seventeen thousand, fifty-six".