105371960 has 32 divisors (see below), whose sum is σ = 238170240. Its totient is φ = 41956224.

The previous prime is 105371953. The next prime is 105371969. The reversal of 105371960 is 69173501.

It is a super-2 number, since 2×105371960² = 22206499908483200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105371969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3014 + ... + 14826.

It is an arithmetic number, because the mean of its divisors is an integer number (7442820).

Almost surely, 2^105371960 is an apocalyptic number.

105371960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105371960 is an abundant number, since it is smaller than the sum of its proper divisors (132798280).

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

105371960 is a wasteful number, since it uses less digits than its factorization.

105371960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12047 (or 12043 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 105371960 is about 10265.0845101246. The cubic root of 105371960 is about 472.3258187988.

The spelling of 105371960 in words is "one hundred five million, three hundred seventy-one thousand, nine hundred sixty".