105925200 has 120 divisors (see below), whose sum is σ = 343007808. Its totient is φ = 27939840.

The previous prime is 105925177. The next prime is 105925201. The reversal of 105925200 is 2529501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105925200² = 22440295990080000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105925201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123172 + ... + 124028.

Almost surely, 2^105925200 is an apocalyptic number.

105925200 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 105925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171503904).

105925200 is an abundant number, since it is smaller than the sum of its proper divisors (237082608).

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

105925200 is a wasteful number, since it uses less digits than its factorization.

105925200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105925200 is about 10291.9968907885. The cubic root of 105925200 is about 473.1510020919.

The spelling of 105925200 in words is "one hundred five million, nine hundred twenty-five thousand, two hundred".