105362868 has 48 divisors (see below), whose sum is σ = 265446720. Its totient is φ = 32335104.

The previous prime is 105362863. The next prime is 105362869. The reversal of 105362868 is 868263501.

It is a happy number.

It is a super-2 number, since 2×105362868² = 22202667906370848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105362863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88171 + ... + 89357.

It is an arithmetic number, because the mean of its divisors is an integer number (5530140).

Almost surely, 2^105362868 is an apocalyptic number.

It is an amenable number.

105362868 is an abundant number, since it is smaller than the sum of its proper divisors (160083852).

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

105362868 is a wasteful number, since it uses less digits than its factorization.

105362868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 105362868 is about 10264.6416401158. The cubic root of 105362868 is about 472.3122335596.

The spelling of 105362868 in words is "one hundred five million, three hundred sixty-two thousand, eight hundred sixty-eight".