105971636 has 12 divisors (see below), whose sum is σ = 186012960. Its totient is φ = 52825080.

The previous prime is 105971629. The next prime is 105971639. The reversal of 105971636 is 636179501.

It is a super-2 number, since 2×105971636² = 22459975273032992, 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 105971636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105971639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38696 + ... + 41343.

It is an arithmetic number, because the mean of its divisors is an integer number (15501080).

Almost surely, 2^105971636 is an apocalyptic number.

It is an amenable number.

105971636 is a deficient number, since it is larger than the sum of its proper divisors (80041324).

105971636 is a wasteful number, since it uses less digits than its factorization.

105971636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80374 (or 80372 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 105971636 is about 10294.2525712166. The cubic root of 105971636 is about 473.2201327303.

The spelling of 105971636 in words is "one hundred five million, nine hundred seventy-one thousand, six hundred thirty-six".