105964187164 has 36 divisors (see below), whose sum is σ = 204233499792. Its totient is φ = 48069672640.

The previous prime is 105964187141. The next prime is 105964187171. The reversal of 105964187164 is 461781469501.

It is a happy number.

It is a super-2 number, since 2×105964187164² (a number of 23 digits) 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 11 ways as a sum of consecutive naturals, for example, 25824 + ... + 461080.

It is an arithmetic number, because the mean of its divisors is an integer number (5673152772).

Almost surely, 2^105964187164 is an apocalyptic number.

It is an amenable number.

105964187164 is a deficient number, since it is larger than the sum of its proper divisors (98269312628).

105964187164 is a wasteful number, since it uses less digits than its factorization.

105964187164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435786 (or 435773 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 105964187164 in words is "one hundred five billion, nine hundred sixty-four million, one hundred eighty-seven thousand, one hundred sixty-four".