191232900 has 90 divisors (see below), whose sum is σ = 619927770. Its totient is φ = 50993280.

The previous prime is 191232871. The next prime is 191232901. The reversal of 191232900 is 9232191.

191232900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 190605636 = 792^2 + 13806^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (191232901) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3705 + ... + 19904.

Almost surely, 2^191232900 is an apocalyptic number.

191232900 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 191232900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309963885).

191232900 is an abundant number, since it is smaller than the sum of its proper divisors (428694870).

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

191232900 is a wasteful number, since it uses less digits than its factorization.

191232900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23635 (or 23619 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 191232900 is about 13828.6984203142. The cubic root of 191232900 is about 576.1305042836.

The spelling of 191232900 in words is "one hundred ninety-one million, two hundred thirty-two thousand, nine hundred".