109095216864 has 48 divisors (see below), whose sum is σ = 295612853760. Its totient is φ = 35192004480.

The previous prime is 109095216851. The next prime is 109095216871. The reversal of 109095216864 is 468612590901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18326194 + ... + 18332145.

It is an arithmetic number, because the mean of its divisors is an integer number (6158601120).

Almost surely, 2^109095216864 is an apocalyptic number.

It is an amenable number.

109095216864 is an abundant number, since it is smaller than the sum of its proper divisors (186517636896).

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

109095216864 is a wasteful number, since it uses less digits than its factorization.

109095216864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36658383 (or 36658375 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

It can be divided in two parts, 1090952 and 16864, that added together give a triangular number (1107816 = T₁₄₈₈).

The spelling of 109095216864 in words is "one hundred nine billion, ninety-five million, two hundred sixteen thousand, eight hundred sixty-four".