109305587160 has 1152 divisors, whose sum is σ = 484514956800. Its totient is φ = 21452428800.

The previous prime is 109305587129. The next prime is 109305587197. The reversal of 109305587160 is 61785503901.

It is a happy number.

109305587160 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 0 + 5 + 587 + 1 + 60 = 666.

It is a super-2 number, since 2×109305587160² (a number of 23 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 330228195 + ... + 330228525.

It is an arithmetic number, because the mean of its divisors is an integer number (420585900).

Almost surely, 2^109305587160 is an apocalyptic number.

109305587160 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 109305587160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242257478400).

109305587160 is an abundant number, since it is smaller than the sum of its proper divisors (375209369640).

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

109305587160 is a wasteful number, since it uses less digits than its factorization.

109305587160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 109305587160 in words is "one hundred nine billion, three hundred five million, five hundred eighty-seven thousand, one hundred sixty".