100857441600 has 1344 divisors, whose sum is σ = 412194451200. Its totient is φ = 24186470400.

The previous prime is 100857441593. The next prime is 100857441613. The reversal of 100857441600 is 6144758001.

It is a happy number.

100857441600 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 5 + 7 + 4 + 41 + 600 = 666.

It is a super-3 number, since 3×100857441600³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2459937580 + ... + 2459937620.

It is an arithmetic number, because the mean of its divisors is an integer number (306692300).

Almost surely, 2^100857441600 is an apocalyptic number.

100857441600 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 100857441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206097225600).

100857441600 is an abundant number, since it is smaller than the sum of its proper divisors (311337009600).

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

100857441600 is an equidigital number, since it uses as much as digits as its factorization.

100857441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 100857441600 in words is "one hundred billion, eight hundred fifty-seven million, four hundred forty-one thousand, six hundred".