108145191960 has 1024 divisors, whose sum is σ = 427966156800. Its totient is φ = 24049778688.

The previous prime is 108145191953. The next prime is 108145192021. The reversal of 108145191960 is 69191541801.

108145191960 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 451 + 9 + 196 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1049953269 + ... + 1049953371.

It is an arithmetic number, because the mean of its divisors is an integer number (417935700).

Almost surely, 2^108145191960 is an apocalyptic number.

108145191960 is a gapful number since it is divisible by the number (10) 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 108145191960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213983078400).

108145191960 is an abundant number, since it is smaller than the sum of its proper divisors (319820964840).

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

108145191960 is a wasteful number, since it uses less digits than its factorization.

108145191960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 108145191960 in words is "one hundred eight billion, one hundred forty-five million, one hundred ninety-one thousand, nine hundred sixty".