105138772 has 12 divisors (see below), whose sum is σ = 184192596. Its totient is φ = 52512320.

The previous prime is 105138757. The next prime is 105138797. The reversal of 105138772 is 277831501.

It can be written as a sum of positive squares in 2 ways, for example, as 84015556 + 21123216 = 9166^2 + 4596^2 .

It is a super-2 number, since 2×105138772² = 22108322755335968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9979 + ... + 17602.

It is an arithmetic number, because the mean of its divisors is an integer number (15349383).

Almost surely, 2^105138772 is an apocalyptic number.

It is an amenable number.

105138772 is a deficient number, since it is larger than the sum of its proper divisors (79053824).

105138772 is a wasteful number, since it uses less digits than its factorization.

105138772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28538 (or 28536 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 105138772 is about 10253.7199103545. The cubic root of 105138772 is about 471.9771426736.

The spelling of 105138772 in words is "one hundred five million, one hundred thirty-eight thousand, seven hundred seventy-two".