105112072 has 32 divisors (see below), whose sum is σ = 219098880. Its totient is φ = 46946880.

The previous prime is 105112031. The next prime is 105112087. The reversal of 105112072 is 270211501.

It is a super-2 number, since 2×105112072² = 22097095360266368, which contains 22 as substring.

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, 13078 + ... + 19525.

It is an arithmetic number, because the mean of its divisors is an integer number (6846840).

Almost surely, 2^105112072 is an apocalyptic number.

It is an amenable number.

105112072 is an abundant number, since it is smaller than the sum of its proper divisors (113986808).

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

105112072 is a wasteful number, since it uses less digits than its factorization.

105112072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32653 (or 32649 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 105112072 is about 10252.4178611682. The cubic root of 105112072 is about 471.9371864128.

Adding to 105112072 its reverse (270211501), we get a palindrome (375323573).

The spelling of 105112072 in words is "one hundred five million, one hundred twelve thousand, seventy-two".