160109700975 has 240 divisors, whose sum is σ = 345346467840. Its totient is φ = 71822246400.

The previous prime is 160109700967. The next prime is 160109700977. The reversal of 160109700975 is 579007901061.

160109700975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 160109700975 - 2³ = 160109700967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 160109700975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160109700977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 371484010 + ... + 371484440.

It is an arithmetic number, because the mean of its divisors is an integer number (1438943616).

Almost surely, 2^160109700975 is an apocalyptic number.

160109700975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

160109700975 is an abundant number, since it is smaller than the sum of its proper divisors (185236766865).

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

160109700975 is a wasteful number, since it uses less digits than its factorization.

160109700975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 160109700975 in words is "one hundred sixty billion, one hundred nine million, seven hundred thousand, nine hundred seventy-five".