107764255872 has 1120 divisors, whose sum is σ = 415322140380. Its totient is φ = 27653197824.

The previous prime is 107764255861. The next prime is 107764255877. The reversal of 107764255872 is 278552467701.

107764255872 is a `hidden beast` number, since 10 + 7 + 7 + 6 + 4 + 2 + 558 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107652234816 + 112021056 = 328104^2 + 10584^2 .

It is a super-2 number, since 2×107764255872² (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 not an unprimeable number, because it can be changed into a prime (107764255877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 2912547438 + ... + 2912547474.

Almost surely, 2^107764255872 is an apocalyptic number.

107764255872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107764255872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207661070190).

107764255872 is an abundant number, since it is smaller than the sum of its proper divisors (307557884508).

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

107764255872 is an frugal number, since it uses more digits than its factorization.

107764255872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 107764255872 in words is "one hundred seven billion, seven hundred sixty-four million, two hundred fifty-five thousand, eight hundred seventy-two".