100604535600 has 240 divisors, whose sum is σ = 333617377280. Its totient is φ = 25888204800.

The previous prime is 100604535599. The next prime is 100604535607. The reversal of 100604535600 is 6535406001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (100604535607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13648716 + ... + 13656084.

Almost surely, 2^100604535600 is an apocalyptic number.

100604535600 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 100604535600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166808688640).

100604535600 is an abundant number, since it is smaller than the sum of its proper divisors (233012841680).

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

100604535600 is a wasteful number, since it uses less digits than its factorization.

100604535600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7788 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 100604535600 in words is "one hundred billion, six hundred four million, five hundred thirty-five thousand, six hundred".