105253624 has 32 divisors (see below), whose sum is σ = 227553120. Its totient is φ = 44706816.

The previous prime is 105253619. The next prime is 105253627. The reversal of 105253624 is 426352501.

It is a super-2 number, since 2×105253624² = 22156650730266752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105253592 and 105253601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105253627) 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, 1989 + ... + 14644.

It is an arithmetic number, because the mean of its divisors is an integer number (7111035).

Almost surely, 2^105253624 is an apocalyptic number.

105253624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105253624 is an abundant number, since it is smaller than the sum of its proper divisors (122299496).

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

105253624 is a wasteful number, since it uses less digits than its factorization.

105253624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16759 (or 16755 counting only the distinct ones).

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

The square root of 105253624 is about 10259.3188857740. The cubic root of 105253624 is about 472.1489403566.

The spelling of 105253624 in words is "one hundred five million, two hundred fifty-three thousand, six hundred twenty-four".