107394270768 has 160 divisors (see below), whose sum is σ = 309838502400. Its totient is φ = 35615510784.

The previous prime is 107394270727. The next prime is 107394270811. The reversal of 107394270768 is 867072493701.

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 31 ways as a sum of consecutive naturals, for example, 130490805 + ... + 130491627.

It is an arithmetic number, because the mean of its divisors is an integer number (1936490640).

Almost surely, 2^107394270768 is an apocalyptic number.

107394270768 is a gapful number since it is divisible by the number (18) 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 107394270768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154919251200).

107394270768 is an abundant number, since it is smaller than the sum of its proper divisors (202444231632).

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

107394270768 is a wasteful number, since it uses less digits than its factorization.

107394270768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 107394270768 in words is "one hundred seven billion, three hundred ninety-four million, two hundred seventy thousand, seven hundred sixty-eight".