105956288 has 28 divisors (see below), whose sum is σ = 213146640. Its totient is φ = 52250112.

The previous prime is 105956287. The next prime is 105956303. The reversal of 105956288 is 882659501.

It is a super-2 number, since 2×105956288² = 22453469933477888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105956281) 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, 6668 + ... + 16011.

It is an arithmetic number, because the mean of its divisors is an integer number (7612380).

Almost surely, 2^105956288 is an apocalyptic number.

It is an amenable number.

105956288 is an abundant number, since it is smaller than the sum of its proper divisors (107190352).

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

105956288 is an equidigital number, since it uses as much as digits as its factorization.

105956288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22764 (or 22754 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 44.

The square root of 105956288 is about 10293.5070797081. The cubic root of 105956288 is about 473.1972859462.

The spelling of 105956288 in words is "one hundred five million, nine hundred fifty-six thousand, two hundred eighty-eight".