130188100 has 81 divisors (see below), whose sum is σ = 330660477. Its totient is φ = 44362080.

The previous prime is 130188053. The next prime is 130188109. The reversal of 130188100 is 1881031.

The square root of 130188100 is 11410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46867716 + 83320384 = 6846^2 + 9128^2 .

It is a super-2 number, since 2×130188100² = 33897882763220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130188109) 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 26 ways as a sum of consecutive naturals, for example, 798619 + ... + 798781.

Almost surely, 2^130188100 is an apocalyptic number.

130188100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130188100 is the 11410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130188100

130188100 is an abundant number, since it is smaller than the sum of its proper divisors (200472377).

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

130188100 is a wasteful number, since it uses less digits than its factorization.

130188100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The cubic root of 130188100 is about 506.8239114508.

It can be divided in two parts, 1301 and 88100, that added together give a square (89401 = 299²).

The spelling of 130188100 in words is "one hundred thirty million, one hundred eighty-eight thousand, one hundred".