101988800 has 42 divisors (see below), whose sum is σ = 250960128. Its totient is φ = 40794880.

The previous prime is 101988773. The next prime is 101988833. The reversal of 101988800 is 8889101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30272 + ... + 33471.

Almost surely, 2^101988800 is an apocalyptic number.

101988800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101988800 is an abundant number, since it is smaller than the sum of its proper divisors (148971328).

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

101988800 is an equidigital number, since it uses as much as digits as its factorization.

101988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63765 (or 63750 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 35.

The square root of 101988800 is about 10098.9504405161. The cubic root of 101988800 is about 467.2157708756.

The spelling of 101988800 in words is "one hundred one million, nine hundred eighty-eight thousand, eight hundred".