110661552 has 100 divisors (see below), whose sum is σ = 323786320. Its totient is φ = 36484992.

The previous prime is 110661539. The next prime is 110661571. The reversal of 110661552 is 255166011.

It is a happy number.

110661552 is a `hidden beast` number, since 1 + 106 + 6 + 1 + 552 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133074 + ... + 133902.

Almost surely, 2^110661552 is an apocalyptic number.

110661552 is a gapful number since it is divisible by the number (12) 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 110661552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161893160).

110661552 is an abundant number, since it is smaller than the sum of its proper divisors (213124768).

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

110661552 is a wasteful number, since it uses less digits than its factorization.

110661552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 110661552 is about 10519.5794592750. The cubic root of 110661552 is about 480.1006039128.

The spelling of 110661552 in words is "one hundred ten million, six hundred sixty-one thousand, five hundred fifty-two".