109902274560 has 1344 divisors, whose sum is σ = 463714917120. Its totient is φ = 23781703680.

The previous prime is 109902274511. The next prime is 109902274609. The reversal of 109902274560 is 65472209901.

109902274560 is a `hidden beast` number, since 10 + 9 + 9 + 0 + 2 + 2 + 74 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (109902274511) and next prime (109902274609).

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 95 ways as a sum of consecutive naturals, for example, 1547919325 + ... + 1547919395.

It is an arithmetic number, because the mean of its divisors is an integer number (345025980).

Almost surely, 2^109902274560 is an apocalyptic number.

109902274560 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 109902274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231857458560).

109902274560 is an abundant number, since it is smaller than the sum of its proper divisors (353812642560).

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

109902274560 is a wasteful number, since it uses less digits than its factorization.

109902274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 109902274560 in words is "one hundred nine billion, nine hundred two million, two hundred seventy-four thousand, five hundred sixty".