100289160 has 48 divisors (see below), whose sum is σ = 325940940. Its totient is φ = 26743680.

The previous prime is 100289159. The next prime is 100289179. The reversal of 100289160 is 61982001.

It can be written as a sum of positive squares in 2 ways, for example, as 93663684 + 6625476 = 9678^2 + 2574^2 .

It is a super-2 number, since 2×100289160² = 20115831227011200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138931 + ... + 139650.

Almost surely, 2^100289160 is an apocalyptic number.

100289160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100289160 is an abundant number, since it is smaller than the sum of its proper divisors (225651780).

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

100289160 is a wasteful number, since it uses less digits than its factorization.

100289160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278598 (or 278591 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 100289160 is about 10014.4475633956. The cubic root of 100289160 is about 464.6058401067.

The spelling of 100289160 in words is "one hundred million, two hundred eighty-nine thousand, one hundred sixty".