10138624 has 22 divisors (see below), whose sum is σ = 20269394. Its totient is φ = 5068800.

The previous prime is 10138621. The next prime is 10138631. The reversal of 10138624 is 42683101.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 102400 = 3168^2 + 320^2 .

It is a super-2 number, since 2×10138624² = 205583393226752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10138621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3927 + ... + 5974.

Almost surely, 2^10138624 is an apocalyptic number.

It is an amenable number.

10138624 is a deficient number, since it is larger than the sum of its proper divisors (10130770).

10138624 is an frugal number, since it uses more digits than its factorization.

10138624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921 (or 9903 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 10138624 is about 3184.1206007311. The cubic root of 10138624 is about 216.4344251833.

The spelling of 10138624 in words is "ten million, one hundred thirty-eight thousand, six hundred twenty-four".