100061348400 has 360 divisors, whose sum is σ = 375760856016. Its totient is φ = 24511334400.

The previous prime is 100061348371. The next prime is 100061348449. The reversal of 100061348400 is 4843160001.

100061348400 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 613 + 4 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9869734 + ... + 9879866.

Almost surely, 2^100061348400 is an apocalyptic number.

100061348400 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 100061348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187880428008).

100061348400 is an abundant number, since it is smaller than the sum of its proper divisors (275699507616).

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

100061348400 is a wasteful number, since it uses less digits than its factorization.

100061348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10381 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 100061348400 in words is "one hundred billion, sixty-one million, three hundred forty-eight thousand, four hundred".