105681288 has 32 divisors (see below), whose sum is σ = 264578400. Its totient is φ = 35177088.

The previous prime is 105681269. The next prime is 105681319. The reversal of 105681288 is 882186501.

It is a super-2 number, since 2×105681288² = 22337069266677888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16695 + ... + 22137.

It is an arithmetic number, because the mean of its divisors is an integer number (8268075).

Almost surely, 2^105681288 is an apocalyptic number.

It is an amenable number.

105681288 is an abundant number, since it is smaller than the sum of its proper divisors (158897112).

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

105681288 is a wasteful number, since it uses less digits than its factorization.

105681288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 105681288 is about 10280.1404659664. The cubic root of 105681288 is about 472.7875509561.

The spelling of 105681288 in words is "one hundred five million, six hundred eighty-one thousand, two hundred eighty-eight".