100255760 has 60 divisors (see below), whose sum is σ = 256236204. Its totient is φ = 36453120.

The previous prime is 100255751. The next prime is 100255769. The reversal of 100255760 is 67552001.

It is an interprime number because it is at equal distance from previous prime (100255751) and next prime (100255769).

It can be written as a sum of positive squares in 2 ways, for example, as 42981136 + 57274624 = 6556^2 + 7568^2 .

It is not an unprimeable number, because it can be changed into a prime (100255769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4502 + ... + 14858.

Almost surely, 2^100255760 is an apocalyptic number.

100255760 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 100255760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128118102).

100255760 is an abundant number, since it is smaller than the sum of its proper divisors (155980444).

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

100255760 is a wasteful number, since it uses less digits than its factorization.

100255760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10392 (or 10375 counting only the distinct ones).

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

The square root of 100255760 is about 10012.7798337924. The cubic root of 100255760 is about 464.5542574031.

The spelling of 100255760 in words is "one hundred million, two hundred fifty-five thousand, seven hundred sixty".