10187903232 has 432 divisors, whose sum is σ = 33715085040. Its totient is φ = 2935554048.

The previous prime is 10187903101. The next prime is 10187903233. The reversal of 10187903232 is 23230978101.

It can be written as a sum of positive squares in 8 ways, for example, as 524226816 + 9663676416 = 22896^2 + 98304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187903233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32138338 + ... + 32138654.

Almost surely, 2^10187903232 is an apocalyptic number.

10187903232 is a gapful number since it is divisible by the number (12) 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 10187903232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16857542520).

10187903232 is an abundant number, since it is smaller than the sum of its proper divisors (23527181808).

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

10187903232 is a wasteful number, since it uses less digits than its factorization.

10187903232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10187903232 in words is "ten billion, one hundred eighty-seven million, nine hundred three thousand, two hundred thirty-two".