106807762944 has 224 divisors, whose sum is σ = 319476363840. Its totient is φ = 35262038016.

The previous prime is 106807762937. The next prime is 106807762967. The reversal of 106807762944 is 449267708601.

106807762944 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 0 + 7 + 7 + 629 + 4 + 4 = 666.

It is a super-2 number, since 2×106807762944² (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23664432 + ... + 23668944.

Almost surely, 2^106807762944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106807762944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159738181920).

106807762944 is an abundant number, since it is smaller than the sum of its proper divisors (212668600896).

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

106807762944 is an equidigital number, since it uses as much as digits as its factorization.

106807762944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 106807762944 in words is "one hundred six billion, eight hundred seven million, seven hundred sixty-two thousand, nine hundred forty-four".