10151904 has 48 divisors (see below), whose sum is σ = 30457728. Its totient is φ = 2900352.

The previous prime is 10151903. The next prime is 10151917. The reversal of 10151904 is 40915101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10151904² = 206122309650432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6882 + ... + 8225.

It is an arithmetic number, because the mean of its divisors is an integer number (634536).

Almost surely, 2^10151904 is an apocalyptic number.

10151904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10151904 is an abundant number, since it is smaller than the sum of its proper divisors (20305824).

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

10151904 is a wasteful number, since it uses less digits than its factorization.

10151904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15127 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 10151904 is about 3186.2052664573. The cubic root of 10151904 is about 216.5288822859.

The spelling of 10151904 in words is "ten million, one hundred fifty-one thousand, nine hundred four".