110856591090 has 240 divisors, whose sum is σ = 347646043800. Its totient is φ = 25272995328.

The previous prime is 110856591073. The next prime is 110856591121. The reversal of 110856591090 is 90195658011.

110856591090 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 56 + 591 + 0 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106538918409 + 4317672681 = 326403^2 + 65709^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16229796 + ... + 16236624.

Almost surely, 2^110856591090 is an apocalyptic number.

110856591090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110856591090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173823021900).

110856591090 is an abundant number, since it is smaller than the sum of its proper divisors (236789452710).

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

110856591090 is a wasteful number, since it uses less digits than its factorization.

110856591090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 110856591090 in words is "one hundred ten billion, eight hundred fifty-six million, five hundred ninety-one thousand, ninety".