10137906 has 64 divisors (see below), whose sum is σ = 24393600. Its totient is φ = 3110400.

The previous prime is 10137859. The next prime is 10137913. The reversal of 10137906 is 60973101.

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 Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10137906.

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 31 ways as a sum of consecutive naturals, for example, 41946 + ... + 42186.

It is an arithmetic number, because the mean of its divisors is an integer number (381150).

Almost surely, 2^10137906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10137906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196800).

10137906 is an abundant number, since it is smaller than the sum of its proper divisors (14255694).

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

10137906 is a wasteful number, since it uses less digits than its factorization.

10137906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 10137906 is about 3184.0078517491. The cubic root of 10137906 is about 216.4293158908.

The spelling of 10137906 in words is "ten million, one hundred thirty-seven thousand, nine hundred six".