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110055000 = 23354112329

110055000 has 320 divisors, whose sum is σ = 404870400. Its totient is φ = 24640000.

The previous prime is 110054999. The next prime is 110055007. The reversal of 110055000 is 550011.

It is a super-2 number, since 2×1100550002 = 24224206050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110055007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3794986 + ... + 3795014.

It is an arithmetic number, because the mean of its divisors is an integer number (1265220).

Almost surely, 2110055000 is an apocalyptic number.

110055000 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 110055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202435200).

110055000 is an abundant number, since it is smaller than the sum of its proper divisors (294815400).

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

110055000 is a wasteful number, since it uses less digits than its factorization.

110055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 110055000 is about 10490.7101761511. The cubic root of 110055000 is about 479.2218293981.

It can be divided in two parts, 1 and 10055000, that added together give a palindrome (10055001).

The spelling of 110055000 in words is "one hundred ten million, fifty-five thousand".