105933672 has 48 divisors (see below), whose sum is σ = 308975940. Its totient is φ = 32594688.

The previous prime is 105933671. The next prime is 105933673. The reversal of 105933672 is 276339501.

105933672 is a `hidden beast` number, since 1 + 0 + 593 + 3 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (105933671) and next prime (105933673).

It can be written as a sum of positive squares in 2 ways, for example, as 78747876 + 27185796 = 8874^2 + 5214^2 .

It is a super-2 number, since 2×105933672² = 22443885726807168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (105933671) 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, 55653 + ... + 57524.

Almost surely, 2^105933672 is an apocalyptic number.

105933672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105933672 is an abundant number, since it is smaller than the sum of its proper divisors (203042268).

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

105933672 is a wasteful number, since it uses less digits than its factorization.

105933672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113202 (or 113195 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 105933672 is about 10292.4084644946. The cubic root of 105933672 is about 473.1636161139.

The spelling of 105933672 in words is "one hundred five million, nine hundred thirty-three thousand, six hundred seventy-two".