105625600 has 72 divisors (see below), whose sum is σ = 262014480. Its totient is φ = 42229760.

The previous prime is 105625589. The next prime is 105625609. The reversal of 105625600 is 6526501.

It is a super-2 number, since 2×105625600² = 22313534750720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105625609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50169 + ... + 52231.

It is an arithmetic number, because the mean of its divisors is an integer number (3639090).

Almost surely, 2^105625600 is an apocalyptic number.

105625600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131007240).

105625600 is an abundant number, since it is smaller than the sum of its proper divisors (156388880).

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

105625600 is an equidigital number, since it uses as much as digits as its factorization.

105625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 105625600 is about 10277.4315857611. The cubic root of 105625600 is about 472.7044923575.

Subtracting from 105625600 its reverse (6526501), we obtain a palindrome (99099099).

The spelling of 105625600 in words is "one hundred five million, six hundred twenty-five thousand, six hundred".