107723407872 has 320 divisors, whose sum is σ = 306113157504. Its totient is φ = 33614069760.

The previous prime is 107723407843. The next prime is 107723407873. The reversal of 107723407872 is 278704327701.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (107723407873) 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 31 ways as a sum of consecutive naturals, for example, 193399018 + ... + 193399574.

Almost surely, 2^107723407872 is an apocalyptic number.

107723407872 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 107723407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153056578752).

107723407872 is an abundant number, since it is smaller than the sum of its proper divisors (198389749632).

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

107723407872 is an equidigital number, since it uses as much as digits as its factorization.

107723407872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 48.

The spelling of 107723407872 in words is "one hundred seven billion, seven hundred twenty-three million, four hundred seven thousand, eight hundred seventy-two".