105250760 has 64 divisors (see below), whose sum is σ = 248676480. Its totient is φ = 40015360.

The previous prime is 105250753. The next prime is 105250763. The reversal of 105250760 is 67052501.

It is a super-2 number, since 2×105250760² = 22155444961155200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105250763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214115 + ... + 214605.

It is an arithmetic number, because the mean of its divisors is an integer number (3885570).

Almost surely, 2^105250760 is an apocalyptic number.

105250760 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 105250760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124338240).

105250760 is an abundant number, since it is smaller than the sum of its proper divisors (143425720).

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

105250760 is a wasteful number, since it uses less digits than its factorization.

105250760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 105250760 is about 10259.1793044083. The cubic root of 105250760 is about 472.1446578538.

The spelling of 105250760 in words is "one hundred five million, two hundred fifty thousand, seven hundred sixty".