105551688 has 96 divisors (see below), whose sum is σ = 305474400. Its totient is φ = 30286080.

The previous prime is 105551687. The next prime is 105551689. The reversal of 105551688 is 886155501.

It is an interprime number because it is at equal distance from previous prime (105551687) and next prime (105551689).

It is a super-2 number, since 2×105551688² = 22282317679298688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105551687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54220 + ... + 56132.

It is an arithmetic number, because the mean of its divisors is an integer number (3182025).

Almost surely, 2^105551688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105551688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152737200).

105551688 is an abundant number, since it is smaller than the sum of its proper divisors (199922712).

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

105551688 is a wasteful number, since it uses less digits than its factorization.

105551688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 39.

The square root of 105551688 is about 10273.8351164499. The cubic root of 105551688 is about 472.5942075810.

The spelling of 105551688 in words is "one hundred five million, five hundred fifty-one thousand, six hundred eighty-eight".