130418100 has 126 divisors (see below), whose sum is σ = 424553990. Its totient is φ = 34758720.

The previous prime is 130418087. The next prime is 130418117. The reversal of 130418100 is 1814031.

It can be written as a sum of positive squares in 3 ways, for example, as 32764176 + 97653924 = 5724^2 + 9882^2 .

It is a super-2 number, since 2×130418100² = 34017761615220000, which contains 22 as substring.

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

It is a congruent number.

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 41 ways as a sum of consecutive naturals, for example, 72006 + ... + 73794.

Almost surely, 2^130418100 is an apocalyptic number.

130418100 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 130418100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212276995).

130418100 is an abundant number, since it is smaller than the sum of its proper divisors (294135890).

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

130418100 is a wasteful number, since it uses less digits than its factorization.

130418100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 130418100 is about 11420.0744305806. The cubic root of 130418100 is about 507.1222001580.

The spelling of 130418100 in words is "one hundred thirty million, four hundred eighteen thousand, one hundred".