109471761360 has 320 divisors, whose sum is σ = 415983375360. Its totient is φ = 26289377280.

The previous prime is 109471761359. The next prime is 109471761383. The reversal of 109471761360 is 63167174901.

109471761360 is a `hidden beast` number, since 10 + 9 + 4 + 7 + 17 + 613 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1103737 + ... + 1198823.

It is an arithmetic number, because the mean of its divisors is an integer number (1299948048).

Almost surely, 2^109471761360 is an apocalyptic number.

109471761360 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 109471761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207991687680).

109471761360 is an abundant number, since it is smaller than the sum of its proper divisors (306511614000).

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

109471761360 is a wasteful number, since it uses less digits than its factorization.

109471761360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95163 (or 95151 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 109471761360 in words is "one hundred nine billion, four hundred seventy-one million, seven hundred sixty-one thousand, three hundred sixty".