106157567976 has 64 divisors (see below), whose sum is σ = 266123491200. Its totient is φ = 35288725248.

The previous prime is 106157567947. The next prime is 106157567977. The reversal of 106157567976 is 679765751601.

It is a super-2 number, since 2×106157567976² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106157567977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14040085 + ... + 14047643.

It is an arithmetic number, because the mean of its divisors is an integer number (4158179550).

Almost surely, 2^106157567976 is an apocalyptic number.

It is an amenable number.

106157567976 is an abundant number, since it is smaller than the sum of its proper divisors (159965923224).

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

106157567976 is a wasteful number, since it uses less digits than its factorization.

106157567976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9098 (or 9094 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 60.

The spelling of 106157567976 in words is "one hundred six billion, one hundred fifty-seven million, five hundred sixty-seven thousand, nine hundred seventy-six".