100406106600 has 96 divisors (see below), whose sum is σ = 311613076320. Its totient is φ = 26744497920.

The previous prime is 100406106551. The next prime is 100406106611. The reversal of 100406106600 is 6601604001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435042 + ... + 624558.

It is an arithmetic number, because the mean of its divisors is an integer number (3245969545).

Almost surely, 2^100406106600 is an apocalyptic number.

100406106600 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 100406106600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155806538160).

100406106600 is an abundant number, since it is smaller than the sum of its proper divisors (211206969720).

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

100406106600 is a wasteful number, since it uses less digits than its factorization.

100406106600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190419 (or 190410 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 100406106600 in words is "one hundred billion, four hundred six million, one hundred six thousand, six hundred".