100461160 has 64 divisors (see below), whose sum is σ = 241114320. Its totient is φ = 37539840.

The previous prime is 100461139. The next prime is 100461161. The reversal of 100461160 is 61164001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 53319204 + 47141956 = 7302^2 + 6866^2 .

It is not an unprimeable number, because it can be changed into a prime (100461161) 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, 106290 + ... + 107230.

Almost surely, 2^100461160 is an apocalyptic number.

100461160 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 100461160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120557160).

100461160 is an abundant number, since it is smaller than the sum of its proper divisors (140653160).

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

100461160 is a wasteful number, since it uses less digits than its factorization.

100461160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 100461160 is about 10023.0314775521. The cubic root of 100461160 is about 464.8712943982.

The spelling of 100461160 in words is "one hundred million, four hundred sixty-one thousand, one hundred sixty".