100906812600 has 288 divisors, whose sum is σ = 345983688960. Its totient is φ = 24309331200.

The previous prime is 100906812577. The next prime is 100906812613. The reversal of 100906812600 is 6218609001.

100906812600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 11829537 + ... + 11838063.

Almost surely, 2^100906812600 is an apocalyptic number.

100906812600 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 100906812600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172991844480).

100906812600 is an abundant number, since it is smaller than the sum of its proper divisors (245076876360).

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

100906812600 is a wasteful number, since it uses less digits than its factorization.

100906812600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8731 (or 8711 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 100906812600 in words is "one hundred billion, nine hundred six million, eight hundred twelve thousand, six hundred".