106166507364 has 72 divisors (see below), whose sum is σ = 277123392000. Its totient is φ = 34234761600.

The previous prime is 106166507353. The next prime is 106166507417. The reversal of 106166507364 is 463705661601.

106166507364 is a `hidden beast` number, since 106 + 1 + 6 + 6 + 507 + 36 + 4 = 666.

It is a super-2 number, since 2×106166507364² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3331024 + ... + 3362744.

It is an arithmetic number, because the mean of its divisors is an integer number (3848936000).

Almost surely, 2^106166507364 is an apocalyptic number.

It is an amenable number.

106166507364 is an abundant number, since it is smaller than the sum of its proper divisors (170956884636).

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

106166507364 is a wasteful number, since it uses less digits than its factorization.

106166507364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34761 (or 34756 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 106166507364 in words is "one hundred six billion, one hundred sixty-six million, five hundred seven thousand, three hundred sixty-four".