105976507 has 16 divisors (see below), whose sum is σ = 134643712. Its totient is φ = 81142560.

The previous prime is 105976489. The next prime is 105976523. The reversal of 105976507 is 705679501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105976507 is a prime.

It is a super-2 number, since 2×105976507² = 22462040071842098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105976507.

It is not an unprimeable number, because it can be changed into a prime (105976007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15963 + ... + 21604.

It is an arithmetic number, because the mean of its divisors is an integer number (8415232).

Almost surely, 2^105976507 is an apocalyptic number.

105976507 is a deficient number, since it is larger than the sum of its proper divisors (28667205).

105976507 is a wasteful number, since it uses less digits than its factorization.

105976507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37618.

The product of its (nonzero) digits is 66150, while the sum is 40.

The square root of 105976507 is about 10294.4891568256. The cubic root of 105976507 is about 473.2273831608.

The spelling of 105976507 in words is "one hundred five million, nine hundred seventy-six thousand, five hundred seven".