105970288 has 20 divisors (see below), whose sum is σ = 205678800. Its totient is φ = 52891904.

The previous prime is 105970283. The next prime is 105970297. The reversal of 105970288 is 882079501.

It is a super-2 number, since 2×105970288² = 22459403877605888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105970288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105970283) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4056 + ... + 15112.

It is an arithmetic number, because the mean of its divisors is an integer number (10283940).

Almost surely, 2^105970288 is an apocalyptic number.

It is an amenable number.

105970288 is a deficient number, since it is larger than the sum of its proper divisors (99708512).

105970288 is a wasteful number, since it uses less digits than its factorization.

105970288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11664 (or 11658 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 105970288 is about 10294.1870975808. The cubic root of 105970288 is about 473.2181262077.

The spelling of 105970288 in words is "one hundred five million, nine hundred seventy thousand, two hundred eighty-eight".