101828900 has 36 divisors (see below), whose sum is σ = 225149652. Its totient is φ = 39960960.

The previous prime is 101828899. The next prime is 101828911. The reversal of 101828900 is 9828101.

It can be written as a sum of positive squares in 6 ways, for example, as 7311616 + 94517284 = 2704^2 + 9722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4307 + ... + 14906.

It is an arithmetic number, because the mean of its divisors is an integer number (6254157).

Almost surely, 2^101828900 is an apocalyptic number.

101828900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101828900 is an abundant number, since it is smaller than the sum of its proper divisors (123320752).

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

101828900 is a wasteful number, since it uses less digits than its factorization.

101828900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19280 (or 19273 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 101828900 is about 10091.0306708482. The cubic root of 101828900 is about 466.9714732058.

The spelling of 101828900 in words is "one hundred one million, eight hundred twenty-eight thousand, nine hundred".