15053138100 has 1296 divisors, whose sum is σ = 67234585600. Its totient is φ = 2794176000.

The previous prime is 15053138099. The next prime is 15053138117. The reversal of 15053138100 is 183135051.

15053138100 is a `hidden beast` number, since 1 + 50 + 531 + 3 + 81 + 0 + 0 = 666.

It is a super-2 number, since 2×15053138100² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 485585085 + ... + 485585115.

Almost surely, 2^15053138100 is an apocalyptic number.

15053138100 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 15053138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33617292800).

15053138100 is an abundant number, since it is smaller than the sum of its proper divisors (52181447500).

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

15053138100 is a wasteful number, since it uses less digits than its factorization.

15053138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 15053138100 in words is "fifteen billion, fifty-three million, one hundred thirty-eight thousand, one hundred".