105666064974 has 32 divisors (see below), whose sum is σ = 245022762240. Its totient is φ = 33690629016.

The previous prime is 105666064883. The next prime is 105666065023. The reversal of 105666064974 is 479460666501.

It is a super-2 number, since 2×105666064974² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105666064974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42537432 + ... + 42539915.

It is an arithmetic number, because the mean of its divisors is an integer number (7656961320).

Almost surely, 2^105666064974 is an apocalyptic number.

105666064974 is an abundant number, since it is smaller than the sum of its proper divisors (139356697266).

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

105666064974 is a wasteful number, since it uses less digits than its factorization.

105666064974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85077381 (or 85077375 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 105666064974 in words is "one hundred five billion, six hundred sixty-six million, sixty-four thousand, nine hundred seventy-four".