981101160 has 160 divisors (see below), whose sum is σ = 3551403240. Its totient is φ = 241491456.

The previous prime is 981101159. The next prime is 981101183. The reversal of 981101160 is 61101189.

It can be written as a sum of positive squares in 4 ways, for example, as 319479876 + 661621284 = 17874^2 + 25722^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30474 + ... + 53766.

Almost surely, 2^981101160 is an apocalyptic number.

981101160 is a gapful number since it is divisible by the number (90) 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 981101160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775701620).

981101160 is an abundant number, since it is smaller than the sum of its proper divisors (2570302080).

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

981101160 is a wasteful number, since it uses less digits than its factorization.

981101160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23329 (or 23316 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 981101160 is about 31322.5343802190. The cubic root of 981101160 is about 993.6602795467.

The spelling of 981101160 in words is "nine hundred eighty-one million, one hundred one thousand, one hundred sixty".