110074300056900 has 243 divisors, whose sum is σ = 347027161313469. Its totient is φ = 29183518008000.

The previous prime is 110074300056871. The next prime is 110074300056913. The reversal of 110074300056900 is 9650003470011.

The square root of 110074300056900 is 10491630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39626748020484 + 70447552036416 = 6294978^2 + 8393304^2 .

It is a super-2 number, since 2×110074300056900² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 60117038985 + ... + 60117040815.

Almost surely, 2^{110074300056900} is an apocalyptic number.

110074300056900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110074300056900 is the 10491630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110074300056900

110074300056900 is an abundant number, since it is smaller than the sum of its proper divisors (236952861256569).

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

110074300056900 is an equidigital number, since it uses as much as digits as its factorization.

110074300056900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

110074300056900 divided by its sum of digits (36) gives a square (3057619446025 = 1748605²).

The spelling of 110074300056900 in words is "one hundred ten trillion, seventy-four billion, three hundred million, fifty-six thousand, nine hundred".