105952864 has 12 divisors (see below), whose sum is σ = 208594764. Its totient is φ = 52976416.

The previous prime is 105952843. The next prime is 105952879. The reversal of 105952864 is 468259501.

It is a super-2 number, since 2×105952864² = 22452018779604992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1655482 + ... + 1655545.

It is an arithmetic number, because the mean of its divisors is an integer number (17382897).

Almost surely, 2^105952864 is an apocalyptic number.

It is an amenable number.

105952864 is a deficient number, since it is larger than the sum of its proper divisors (102641900).

105952864 is an equidigital number, since it uses as much as digits as its factorization.

105952864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311037 (or 3311029 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 105952864 is about 10293.3407599282. The cubic root of 105952864 is about 473.1921887343.

The spelling of 105952864 in words is "one hundred five million, nine hundred fifty-two thousand, eight hundred sixty-four".