105325800 has 48 divisors (see below), whose sum is σ = 326511840. Its totient is φ = 28086720.

The previous prime is 105325793. The next prime is 105325807. The reversal of 105325800 is 8523501.

It is an interprime number because it is at equal distance from previous prime (105325793) and next prime (105325807).

It is a super-2 number, since 2×105325800² = 22187048291280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105325807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87172 + ... + 88371.

It is an arithmetic number, because the mean of its divisors is an integer number (6802330).

Almost surely, 2^105325800 is an apocalyptic number.

105325800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105325800 is an abundant number, since it is smaller than the sum of its proper divisors (221186040).

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

105325800 is a wasteful number, since it uses less digits than its factorization.

105325800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175562 (or 175553 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105325800 is about 10262.8358653932. The cubic root of 105325800 is about 472.2568385748.

The spelling of 105325800 in words is "one hundred five million, three hundred twenty-five thousand, eight hundred".