100208964 has 48 divisors (see below), whose sum is σ = 247412480. Its totient is φ = 31479840.

The previous prime is 100208959. The next prime is 100208981. The reversal of 100208964 is 469802001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47067 + ... + 49149.

Almost surely, 2^100208964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100208964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123706240).

100208964 is an abundant number, since it is smaller than the sum of its proper divisors (147203516).

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

100208964 is a wasteful number, since it uses less digits than its factorization.

100208964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 100208964 is about 10010.4427474513. The cubic root of 100208964 is about 464.4819667460.

The spelling of 100208964 in words is "one hundred million, two hundred eight thousand, nine hundred sixty-four".