105623364 has 48 divisors (see below), whose sum is σ = 307270656. Its totient is φ = 27434400.

The previous prime is 105623359. The next prime is 105623387. The reversal of 105623364 is 463326501.

It is a super-2 number, since 2×105623364² = 22312590045352992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56232 + ... + 58079.

It is an arithmetic number, because the mean of its divisors is an integer number (6401472).

Almost surely, 2^105623364 is an apocalyptic number.

105623364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105623364 is an abundant number, since it is smaller than the sum of its proper divisors (201647292).

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

105623364 is a wasteful number, since it uses less digits than its factorization.

105623364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114336 (or 114334 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 105623364 is about 10277.3228031428. The cubic root of 105623364 is about 472.7011567561.

Adding to 105623364 its reverse (463326501), we get a palindrome (568949865).

The spelling of 105623364 in words is "one hundred five million, six hundred twenty-three thousand, three hundred sixty-four".