105496272 has 60 divisors (see below), whose sum is σ = 337423840. Its totient is φ = 30141504.

The previous prime is 105496253. The next prime is 105496297. The reversal of 105496272 is 272694501.

It is a super-2 number, since 2×105496272² = 22258926811795968, 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51322 + ... + 53337.

Almost surely, 2^105496272 is an apocalyptic number.

105496272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105496272 is an abundant number, since it is smaller than the sum of its proper divisors (231927568).

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

105496272 is a wasteful number, since it uses less digits than its factorization.

105496272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104680 (or 104671 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105496272 is about 10271.1378142833. The cubic root of 105496272 is about 472.5114870811.

The spelling of 105496272 in words is "one hundred five million, four hundred ninety-six thousand, two hundred seventy-two".