100902144 has 108 divisors (see below), whose sum is σ = 309167264. Its totient is φ = 28618752.

The previous prime is 100902143. The next prime is 100902163. The reversal of 100902144 is 441209001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100902144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100902143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736444 + ... + 736580.

Almost surely, 2^100902144 is an apocalyptic number.

100902144 is a gapful number since it is divisible by the number (14) 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 100902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154583632).

100902144 is an abundant number, since it is smaller than the sum of its proper divisors (208265120).

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

100902144 is an frugal number, since it uses more digits than its factorization.

100902144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 100902144 is about 10045.0059233432. The cubic root of 100902144 is about 465.5505007545.

Multiplying 100902144 by its sum of digits (21), we get a square (2118945024 = 46032²).

100902144 divided by its sum of digits (21) gives a square (4804864 = 2192²).

The spelling of 100902144 in words is "one hundred million, nine hundred two thousand, one hundred forty-four".