106557639800976 has 2025 divisors, whose sum is σ = 409091791189851. Its totient is φ = 26685025855488.

The previous prime is 106557639800939. The next prime is 106557639801049. The reversal of 106557639800976 is 679008936755601.

The square root of 106557639800976 is 10322676.

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

106557639800976 is a `hidden beast` number, since 1 + 0 + 6 + 557 + 63 + 9 + 8 + 0 + 0 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9472089560976 + 97085550240000 = 3077676^2 + 9853200^2 .

It is a super-2 number, since 2×106557639800976² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 777792991180 + ... + 777792991316.

Almost surely, 2^{106557639800976} is an apocalyptic number.

106557639800976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106557639800976 is the 10322676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106557639800976

106557639800976 is an abundant number, since it is smaller than the sum of its proper divisors (302534151388875).

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

106557639800976 is a wasteful number, since it uses less digits than its factorization.

106557639800976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 106557639800976 in words is "one hundred six trillion, five hundred fifty-seven billion, six hundred thirty-nine million, eight hundred thousand, nine hundred seventy-six".