130958100 has 432 divisors, whose sum is σ = 533715840. Its totient is φ = 26956800.

The previous prime is 130958099. The next prime is 130958117. The reversal of 130958100 is 1859031.

It is a super-2 number, since 2×130958100² = 34300047911220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 3194080 + ... + 3194120.

Almost surely, 2^130958100 is an apocalyptic number.

130958100 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 130958100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266857920).

130958100 is an abundant number, since it is smaller than the sum of its proper divisors (402757740).

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

130958100 is a wasteful number, since it uses less digits than its factorization.

130958100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 130958100 is about 11443.6925858745. The cubic root of 130958100 is about 507.8211545192.

The spelling of 130958100 in words is "one hundred thirty million, nine hundred fifty-eight thousand, one hundred".