105190864 has 20 divisors (see below), whose sum is σ = 207263520. Its totient is φ = 51703520.

The previous prime is 105190861. The next prime is 105190867. The reversal of 105190864 is 468091501.

It is an interprime number because it is at equal distance from previous prime (105190861) and next prime (105190867).

It is a super-2 number, since 2×105190864² = 22130235738132992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105190861) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 54772 + ... + 56659.

It is an arithmetic number, because the mean of its divisors is an integer number (10363176).

Almost surely, 2^105190864 is an apocalyptic number.

It is an amenable number.

105190864 is a deficient number, since it is larger than the sum of its proper divisors (102072656).

105190864 is a wasteful number, since it uses less digits than its factorization.

105190864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111498 (or 111492 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 105190864 is about 10256.2597471008. The cubic root of 105190864 is about 472.0550783183.

It can be divided in two parts, 105 and 190864, that added together give a square (190969 = 437²).

The spelling of 105190864 in words is "one hundred five million, one hundred ninety thousand, eight hundred sixty-four".