105121160 has 32 divisors (see below), whose sum is σ = 239379840. Its totient is φ = 41540544.

The previous prime is 105121157. The next prime is 105121189. The reversal of 105121160 is 61121501.

It is a super-2 number, since 2×105121160² = 22100916559491200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12512 + ... + 19151.

It is an arithmetic number, because the mean of its divisors is an integer number (7480620).

Almost surely, 2^105121160 is an apocalyptic number.

105121160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105121160 is an abundant number, since it is smaller than the sum of its proper divisors (134258680).

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

105121160 is a wasteful number, since it uses less digits than its factorization.

105121160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31757 (or 31753 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 105121160 is about 10252.8610641128. The cubic root of 105121160 is about 471.9507872659.

Adding to 105121160 its reverse (61121501), we get a palindrome (166242661).

The spelling of 105121160 in words is "one hundred five million, one hundred twenty-one thousand, one hundred sixty".