107095166928 has 160 divisors (see below), whose sum is σ = 311826708480. Its totient is φ = 35186659200.

The previous prime is 107095166863. The next prime is 107095167013. The reversal of 107095166928 is 829661590701.

It is a super-2 number, since 2×107095166928² (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 a congruent number.

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, 16598103 + ... + 16604553.

It is an arithmetic number, because the mean of its divisors is an integer number (1948916928).

Almost surely, 2^107095166928 is an apocalyptic number.

107095166928 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 107095166928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155913354240).

107095166928 is an abundant number, since it is smaller than the sum of its proper divisors (204731541552).

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

107095166928 is a wasteful number, since it uses less digits than its factorization.

107095166928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7014 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 107095166928 in words is "one hundred seven billion, ninety-five million, one hundred sixty-six thousand, nine hundred twenty-eight".