105237364 has 12 divisors (see below), whose sum is σ = 185296384. Its totient is φ = 52295544.

The previous prime is 105237347. The next prime is 105237367. The reversal of 105237364 is 463732501.

It is a super-2 number, since 2×105237364² = 22149805563336992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105237367) 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, 80052 + ... + 81355.

Almost surely, 2^105237364 is an apocalyptic number.

It is an amenable number.

105237364 is a deficient number, since it is larger than the sum of its proper divisors (80059020).

105237364 is a wasteful number, since it uses less digits than its factorization.

105237364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161574 (or 161572 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 105237364 is about 10258.5264048985. The cubic root of 105237364 is about 472.1246259535.

Adding to 105237364 its reverse (463732501), we get a palindrome (568969865).

It can be divided in two parts, 1052 and 37364, that added together give a 4-th power (38416 = 14⁴).

The spelling of 105237364 in words is "one hundred five million, two hundred thirty-seven thousand, three hundred sixty-four".