130436100 has 108 divisors (see below), whose sum is σ = 420001764. Its totient is φ = 33834240.

The previous prime is 130436099. The next prime is 130436107. The reversal of 130436100 is 1634031.

130436100 is a `hidden beast` number, since 1 + 304 + 361 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8156736 + 122279364 = 2856^2 + 11058^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130436107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31342 + ... + 35258.

Almost surely, 2^130436100 is an apocalyptic number.

130436100 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 130436100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210000882).

130436100 is an abundant number, since it is smaller than the sum of its proper divisors (289565664).

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

130436100 is a wasteful number, since it uses less digits than its factorization.

130436100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130436100 is about 11420.8624893219. The cubic root of 130436100 is about 507.1455296900.

The spelling of 130436100 in words is "one hundred thirty million, four hundred thirty-six thousand, one hundred".