101157799680 has 864 divisors, whose sum is σ = 425798231040. Its totient is φ = 21658337280.

The previous prime is 101157799657. The next prime is 101157799711. The reversal of 101157799680 is 86997751101.

101157799680 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 577 + 9 + 9 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157812160 + ... + 157812800.

Almost surely, 2^101157799680 is an apocalyptic number.

101157799680 is a gapful number since it is divisible by the number (10) 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 101157799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212899115520).

101157799680 is an abundant number, since it is smaller than the sum of its proper divisors (324640431360).

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

101157799680 is a wasteful number, since it uses less digits than its factorization.

101157799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 54.

The spelling of 101157799680 in words is "one hundred one billion, one hundred fifty-seven million, seven hundred ninety-nine thousand, six hundred eighty".