105055137 has 40 divisors (see below), whose sum is σ = 172520832. Its totient is φ = 63180000.

The previous prime is 105055133. The next prime is 105055141. The reversal of 105055137 is 731550501.

105055137 is a `hidden beast` number, since 105 + 0 + 551 + 3 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (105055133) and next prime (105055141).

It is not a de Polignac number, because 105055137 - 2² = 105055133 is a prime.

It is a super-2 number, since 2×105055137² = 22073163620177538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105055137.

It is not an unprimeable number, because it can be changed into a prime (105055133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139512 + ... + 140262.

Almost surely, 2^105055137 is an apocalyptic number.

It is an amenable number.

105055137 is a deficient number, since it is larger than the sum of its proper divisors (67465695).

105055137 is a wasteful number, since it uses less digits than its factorization.

105055137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 105055137 is about 10249.6408229752. The cubic root of 105055137 is about 471.8519611985.

The spelling of 105055137 in words is "one hundred five million, fifty-five thousand, one hundred thirty-seven".