105252364 has 24 divisors (see below), whose sum is σ = 214986240. Its totient is φ = 44147856.

The previous prime is 105252361. The next prime is 105252443. The reversal of 105252364 is 463252501.

It is a super-2 number, since 2×105252364² = 22156120255176992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (105252361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38674 + ... + 41305.

It is an arithmetic number, because the mean of its divisors is an integer number (8957760).

Almost surely, 2^105252364 is an apocalyptic number.

105252364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105252364 is an abundant number, since it is smaller than the sum of its proper divisors (109733876).

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

105252364 is a wasteful number, since it uses less digits than its factorization.

105252364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80037 (or 80035 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 105252364 is about 10259.2574780049. The cubic root of 105252364 is about 472.1470563042.

The spelling of 105252364 in words is "one hundred five million, two hundred fifty-two thousand, three hundred sixty-four".