10117152 has 36 divisors (see below), whose sum is σ = 28771470. Its totient is φ = 3372288.

The previous prime is 10117147. The next prime is 10117157. The reversal of 10117152 is 25171101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10117147) and next prime (10117157).

It can be written as a sum of positive squares in only one way, i.e., 9960336 + 156816 = 3156^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10117152² = 204713529182208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10117157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17277 + ... + 17852.

Almost surely, 2^10117152 is an apocalyptic number.

10117152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10117152 is an abundant number, since it is smaller than the sum of its proper divisors (18654318).

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

10117152 is a wasteful number, since it uses less digits than its factorization.

10117152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35145 (or 35134 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 10117152 is about 3180.7470820548. The cubic root of 10117152 is about 216.2815259149.

Adding to 10117152 its reverse (25171101), we get a palindrome (35288253).

The spelling of 10117152 in words is "ten million, one hundred seventeen thousand, one hundred fifty-two".