10093904 has 20 divisors (see below), whose sum is σ = 19606260. Its totient is φ = 5034240.

The previous prime is 10093901. The next prime is 10093939. The reversal of 10093904 is 40939001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1960000 + 8133904 = 1400^2 + 2852^2 .

It is a super-2 number, since 2×10093904² = 203773795922432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11762 + ... + 12590.

It is an arithmetic number, because the mean of its divisors is an integer number (980313).

Almost surely, 2^10093904 is an apocalyptic number.

It is an amenable number.

10093904 is a deficient number, since it is larger than the sum of its proper divisors (9512356).

10093904 is an equidigital number, since it uses as much as digits as its factorization.

10093904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 10093904 is about 3177.0904928881. The cubic root of 10093904 is about 216.1157358727.

It can be divided in two parts, 1009 and 3904, that added together give a cube (4913 = 17³).

The spelling of 10093904 in words is "ten million, ninety-three thousand, nine hundred four".