105245700 has 144 divisors (see below), whose sum is σ = 363310080. Its totient is φ = 22999680.

The previous prime is 105245689. The next prime is 105245717. The reversal of 105245700 is 7542501.

It is a super-2 number, since 2×105245700² = 22153314736980000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47211 + ... + 49389.

Almost surely, 2^105245700 is an apocalyptic number.

105245700 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 105245700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181655040).

105245700 is an abundant number, since it is smaller than the sum of its proper divisors (258064380).

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

105245700 is a wasteful number, since it uses less digits than its factorization.

105245700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 105245700 is about 10258.9326930242. The cubic root of 105245700 is about 472.1370915102.

The spelling of 105245700 in words is "one hundred five million, two hundred forty-five thousand, seven hundred".