102100908 has 216 divisors, whose sum is σ = 323496432. Its totient is φ = 24820992.

The previous prime is 102100907. The next prime is 102100919. The reversal of 102100908 is 809001201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2759466 + ... + 2759502.

Almost surely, 2^102100908 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 102100908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161748216).

102100908 is an abundant number, since it is smaller than the sum of its proper divisors (221395524).

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

102100908 is a wasteful number, since it uses less digits than its factorization.

102100908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 102100908 is about 10104.4993938344. The cubic root of 102100908 is about 467.3868989652.

The spelling of 102100908 in words is "one hundred two million, one hundred thousand, nine hundred eight".