105250300 has 72 divisors (see below), whose sum is σ = 242234496. Its totient is φ = 39610560.

The previous prime is 105250297. The next prime is 105250333. The reversal of 105250300 is 3052501.

It is a super-2 number, since 2×105250300² = 22155251300180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153759 + ... + 154441.

It is an arithmetic number, because the mean of its divisors is an integer number (3364368).

Almost surely, 2^105250300 is an apocalyptic number.

105250300 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 105250300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121117248).

105250300 is an abundant number, since it is smaller than the sum of its proper divisors (136984196).

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

105250300 is a wasteful number, since it uses less digits than its factorization.

105250300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 105250300 is about 10259.1568854365. The cubic root of 105250300 is about 472.1439700144.

The spelling of 105250300 in words is "one hundred five million, two hundred fifty thousand, three hundred".