106064856976 has 45 divisors (see below), whose sum is σ = 222559919409. Its totient is φ = 48945194688.

The previous prime is 106064856949. The next prime is 106064856977. The reversal of 106064856976 is 679658460601.

The square root of 106064856976 is 325676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15690067600 + 90374789376 = 125260^2 + 300624^2 .

It is a super-2 number, since 2×106064856976² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106064856976.

It is not an unprimeable number, because it can be changed into a prime (106064856977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16932021 + ... + 16938283.

Almost surely, 2^106064856976 is an apocalyptic number.

106064856976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106064856976 is the 325676-th square number.

It is an amenable number.

106064856976 is an abundant number, since it is smaller than the sum of its proper divisors (116495062433).

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

106064856976 is an frugal number, since it uses more digits than its factorization.

106064856976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12560 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 106064856976 in words is "one hundred six billion, sixty-four million, eight hundred fifty-six thousand, nine hundred seventy-six".