105625324 has 24 divisors (see below), whose sum is σ = 211468320. Its totient is φ = 45221376.

The previous prime is 105625321. The next prime is 105625327. The reversal of 105625324 is 423526501.

It is an interprime number because it is at equal distance from previous prime (105625321) and next prime (105625327).

It is a super-2 number, since 2×105625324² = 22313418140209952, 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 = 105625292 and 105625301.

It is not an unprimeable number, because it can be changed into a prime (105625321) 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, 51894 + ... + 53890.

It is an arithmetic number, because the mean of its divisors is an integer number (8811180).

Almost surely, 2^105625324 is an apocalyptic number.

105625324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105625324 is an abundant number, since it is smaller than the sum of its proper divisors (105842996).

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

105625324 is a wasteful number, since it uses less digits than its factorization.

105625324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3895 counting only the distinct ones).

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

The square root of 105625324 is about 10277.4181582730. The cubic root of 105625324 is about 472.7040806311.

It can be divided in two parts, 105625 and 324, that multiplied together give a square (34222500 = 5850²).

The spelling of 105625324 in words is "one hundred five million, six hundred twenty-five thousand, three hundred twenty-four".