105511672 has 32 divisors (see below), whose sum is σ = 235929600. Its totient is φ = 43252704.

The previous prime is 105511661. The next prime is 105511697. The reversal of 105511672 is 276115501.

It is a super-2 number, since 2×105511672² = 22265425856471168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 105511672.

It is a congruent number.

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, 39672 + ... + 42247.

It is an arithmetic number, because the mean of its divisors is an integer number (7372800).

Almost surely, 2^105511672 is an apocalyptic number.

It is an amenable number.

105511672 is an abundant number, since it is smaller than the sum of its proper divisors (130417928).

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

105511672 is a wasteful number, since it uses less digits than its factorization.

105511672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81955 (or 81951 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 105511672 is about 10271.8874604427. The cubic root of 105511672 is about 472.5344778551.

The spelling of 105511672 in words is "one hundred five million, five hundred eleven thousand, six hundred seventy-two".