10838151 has 32 divisors (see below), whose sum is σ = 17388800. Its totient is φ = 6648480.

The previous prime is 10838147. The next prime is 10838171. The reversal of 10838151 is 15183801.

It is not a de Polignac number, because 10838151 - 2² = 10838147 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18696 + ... + 19266.

It is an arithmetic number, because the mean of its divisors is an integer number (543400).

Almost surely, 2^10838151 is an apocalyptic number.

10838151 is a deficient number, since it is larger than the sum of its proper divisors (6550649).

10838151 is a wasteful number, since it uses less digits than its factorization.

10838151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 10838151 is about 3292.1347177781. The cubic root of 10838151 is about 221.3018608679.

The spelling of 10838151 in words is "ten million, eight hundred thirty-eight thousand, one hundred fifty-one".