106968636 has 36 divisors (see below), whose sum is σ = 271783512. Its totient is φ = 35472864.

The previous prime is 106968629. The next prime is 106968637. The reversal of 106968636 is 636869601.

106968636 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 6 + 8 + 636 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106968636² = 22884578175400992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106968591 and 106968600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106968637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450 + ... + 14633.

It is an arithmetic number, because the mean of its divisors is an integer number (7549542).

Almost surely, 2^106968636 is an apocalyptic number.

It is an amenable number.

106968636 is an abundant number, since it is smaller than the sum of its proper divisors (164814876).

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

106968636 is a wasteful number, since it uses less digits than its factorization.

106968636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15290 (or 15285 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 106968636 is about 10342.5642855145. The cubic root of 106968636 is about 474.6995492394.

The spelling of 106968636 in words is "one hundred six million, nine hundred sixty-eight thousand, six hundred thirty-six".