107901847872 has 672 divisors, whose sum is σ = 404151632640. Its totient is φ = 27973693440.

The previous prime is 107901847871. The next prime is 107901848039. The reversal of 107901847872 is 278748109701.

107901847872 is a `hidden beast` number, since 1 + 0 + 7 + 90 + 18 + 478 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107901847871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67144093 + ... + 67145699.

It is an arithmetic number, because the mean of its divisors is an integer number (601416120).

Almost surely, 2^107901847872 is an apocalyptic number.

107901847872 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 107901847872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202075816320).

107901847872 is an abundant number, since it is smaller than the sum of its proper divisors (296249784768).

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

107901847872 is a wasteful number, since it uses less digits than its factorization.

107901847872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 107901847872 in words is "one hundred seven billion, nine hundred one million, eight hundred forty-seven thousand, eight hundred seventy-two".