105963272 has 8 divisors (see below), whose sum is σ = 198681150. Its totient is φ = 52981632.

The previous prime is 105963269. The next prime is 105963289. The reversal of 105963272 is 272369501.

It can be written as a sum of positive squares in only one way, i.e., 95374756 + 10588516 = 9766^2 + 3254^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105963272² = 22456430025891968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6622697 + ... + 6622712.

Almost surely, 2^105963272 is an apocalyptic number.

It is an amenable number.

105963272 is a deficient number, since it is larger than the sum of its proper divisors (92717878).

105963272 is a wasteful number, since it uses less digits than its factorization.

105963272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13245415 (or 13245411 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 105963272 is about 10293.8463170964. The cubic root of 105963272 is about 473.2076824890.

The spelling of 105963272 in words is "one hundred five million, nine hundred sixty-three thousand, two hundred seventy-two".