100610474400 has 432 divisors, whose sum is σ = 376977293784. Its totient is φ = 25161891840.

The previous prime is 100610474359. The next prime is 100610474401. The reversal of 100610474400 is 4474016001.

100610474400 is a `hidden beast` number, since 1 + 0 + 0 + 610 + 4 + 7 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3139136784 + 97471337616 = 56028^2 + 312204^2 .

It is not an unprimeable number, because it can be changed into a prime (100610474401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38799504 + ... + 38802096.

Almost surely, 2^100610474400 is an apocalyptic number.

100610474400 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 100610474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188488646892).

100610474400 is an abundant number, since it is smaller than the sum of its proper divisors (276366819384).

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

100610474400 is a wasteful number, since it uses less digits than its factorization.

100610474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 100610474400 in words is "one hundred billion, six hundred ten million, four hundred seventy-four thousand, four hundred".