105855552 has 112 divisors (see below), whose sum is σ = 339547200. Its totient is φ = 32071680.

The previous prime is 105855527. The next prime is 105855553. The reversal of 105855552 is 255558501.

105855552 is a `hidden beast` number, since 1 + 0 + 58 + 55 + 552 = 666.

It is a super-2 number, since 2×105855552² = 22410795778449408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105855553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16224 + ... + 21792.

Almost surely, 2^105855552 is an apocalyptic number.

105855552 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 105855552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169773600).

105855552 is an abundant number, since it is smaller than the sum of its proper divisors (233691648).

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

105855552 is a wasteful number, since it uses less digits than its factorization.

105855552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

The square root of 105855552 is about 10288.6127344749. The cubic root of 105855552 is about 473.0472771794.

The spelling of 105855552 in words is "one hundred five million, eight hundred fifty-five thousand, five hundred fifty-two".