100775160 has 96 divisors (see below), whose sum is σ = 329790240. Its totient is φ = 26687232.

The previous prime is 100775149. The next prime is 100775177. The reversal of 100775160 is 61577001.

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, 55629 + ... + 57411.

It is an arithmetic number, because the mean of its divisors is an integer number (3435315).

Almost surely, 2^100775160 is an apocalyptic number.

100775160 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 100775160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164895120).

100775160 is an abundant number, since it is smaller than the sum of its proper divisors (229015080).

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

100775160 is a wasteful number, since it uses less digits than its factorization.

100775160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 100775160 is about 10038.6831805770. The cubic root of 100775160 is about 465.3551224096.

It can be divided in two parts, 1007 and 75160, that added together give a palindrome (76167).

The spelling of 100775160 in words is "one hundred million, seven hundred seventy-five thousand, one hundred sixty".