100138956 has 12 divisors (see below), whose sum is σ = 233657592. Its totient is φ = 33379648.

The previous prime is 100138939. The next prime is 100138963. The reversal of 100138956 is 659831001.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4172445 + ... + 4172468.

It is an arithmetic number, because the mean of its divisors is an integer number (19471466).

Almost surely, 2^100138956 is an apocalyptic number.

It is an amenable number.

100138956 is an abundant number, since it is smaller than the sum of its proper divisors (133518636).

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

100138956 is a wasteful number, since it uses less digits than its factorization.

100138956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344920 (or 8344918 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 100138956 is about 10006.9453880792. The cubic root of 100138956 is about 464.3737760625.

Subtracting from 100138956 its product of nonzero digits (6480), we obtain a triangular number (100132476 = T₁₄₁₅₁).

Adding to 100138956 its reverse (659831001), we get a palindrome (759969957).

The spelling of 100138956 in words is "one hundred million, one hundred thirty-eight thousand, nine hundred fifty-six".