100253160 has 256 divisors, whose sum is σ = 388800000. Its totient is φ = 22505472.

The previous prime is 100253147. The next prime is 100253161. The reversal of 100253160 is 61352001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100253161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 672766 + ... + 672914.

It is an arithmetic number, because the mean of its divisors is an integer number (1518750).

Almost surely, 2^100253160 is an apocalyptic number.

100253160 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 100253160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400000).

100253160 is an abundant number, since it is smaller than the sum of its proper divisors (288546840).

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

100253160 is a wasteful number, since it uses less digits than its factorization.

100253160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100253160 is about 10012.6499988764. The cubic root of 100253160 is about 464.5502415025.

The spelling of 100253160 in words is "one hundred million, two hundred fifty-three thousand, one hundred sixty".