100019858400 has 1728 divisors, whose sum is σ = 469364958720. Its totient is φ = 20490624000.

The previous prime is 100019858359. The next prime is 100019858413. The reversal of 100019858400 is 4858910001.

100019858400 is a `hidden beast` number, since 10 + 0 + 0 + 198 + 58 + 400 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1408730365 + ... + 1408730435.

It is an arithmetic number, because the mean of its divisors is an integer number (271623240).

Almost surely, 2^100019858400 is an apocalyptic number.

100019858400 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 100019858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234682479360).

100019858400 is an abundant number, since it is smaller than the sum of its proper divisors (369345100320).

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

100019858400 is a wasteful number, since it uses less digits than its factorization.

100019858400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 100019858400 in words is "one hundred billion, nineteen million, eight hundred fifty-eight thousand, four hundred".