105371964 has 36 divisors (see below), whose sum is σ = 275544360. Its totient is φ = 33912480.

The previous prime is 105371953. The next prime is 105371969. The reversal of 105371964 is 469173501.

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

It is a super-2 number, since 2×105371964² = 22206501594434592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 49422 + ... + 51509.

It is an arithmetic number, because the mean of its divisors is an integer number (7654010).

Almost surely, 2^105371964 is an apocalyptic number.

It is an amenable number.

105371964 is an abundant number, since it is smaller than the sum of its proper divisors (170172396).

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

105371964 is a wasteful number, since it uses less digits than its factorization.

105371964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100970 (or 100965 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 105371964 is about 10265.0847049598. The cubic root of 105371964 is about 472.3258247755.

The spelling of 105371964 in words is "one hundred five million, three hundred seventy-one thousand, nine hundred sixty-four".