100065044400 has 120 divisors (see below), whose sum is σ = 320685684624. Its totient is φ = 26672025600.

The previous prime is 100065044393. The next prime is 100065044423. The reversal of 100065044400 is 4440560001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×100065044400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2834860 + ... + 2869940.

Almost surely, 2^100065044400 is an apocalyptic number.

100065044400 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 100065044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160342842312).

100065044400 is an abundant number, since it is smaller than the sum of its proper divisors (220620640224).

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

100065044400 is a wasteful number, since it uses less digits than its factorization.

100065044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37479 (or 37468 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 100065044400 in words is "one hundred billion, sixty-five million, forty-four thousand, four hundred".