105551888 has 20 divisors (see below), whose sum is σ = 220238508. Its totient is φ = 48716160.

The previous prime is 105551881. The next prime is 105551923. The reversal of 105551888 is 888155501.

It can be written as a sum of positive squares in 2 ways, for example, as 59474944 + 46076944 = 7712^2 + 6788^2 .

It is a super-2 number, since 2×105551888² = 22282402120729088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105551881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253523 + ... + 253938.

Almost surely, 2^105551888 is an apocalyptic number.

It is an amenable number.

105551888 is an abundant number, since it is smaller than the sum of its proper divisors (114686620).

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

105551888 is a wasteful number, since it uses less digits than its factorization.

105551888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507482 (or 507476 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 41.

The square root of 105551888 is about 10273.8448499089. The cubic root of 105551888 is about 472.5945060723.

The spelling of 105551888 in words is "one hundred five million, five hundred fifty-one thousand, eight hundred eighty-eight".