100857815520 has 1536 divisors, whose sum is σ = 444792176640. Its totient is φ = 18579456000.

The previous prime is 100857815519. The next prime is 100857815521. The reversal of 100857815520 is 25518758001.

It is an interprime number because it is at equal distance from previous prime (100857815519) and next prime (100857815521).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100857815521) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 892546984 + ... + 892547096.

It is an arithmetic number, because the mean of its divisors is an integer number (289578240).

Almost surely, 2^100857815520 is an apocalyptic number.

100857815520 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 100857815520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222396088320).

100857815520 is an abundant number, since it is smaller than the sum of its proper divisors (343934361120).

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

100857815520 is a wasteful number, since it uses less digits than its factorization.

100857815520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 42.

The spelling of 100857815520 in words is "one hundred billion, eight hundred fifty-seven million, eight hundred fifteen thousand, five hundred twenty".