10137900 has 72 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 2642240.

The previous prime is 10137859. The next prime is 10137913. The reversal of 10137900 is 973101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13741 + ... + 14459.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^10137900 is an apocalyptic number.

10137900 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 10137900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

10137900 is an abundant number, since it is smaller than the sum of its proper divisors (19860180).

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

10137900 is a wasteful number, since it uses less digits than its factorization.

10137900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 10137900 is about 3184.0069095402. The cubic root of 10137900 is about 216.4292731938.

The spelling of 10137900 in words is "ten million, one hundred thirty-seven thousand, nine hundred".