101208800 has 288 divisors, whose sum is σ = 323979264. Its totient is φ = 29952000.

The previous prime is 101208781. The next prime is 101208817. The reversal of 101208800 is 8802101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1909574 + ... + 1909626.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^101208800 is an apocalyptic number.

101208800 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 101208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

101208800 is an abundant number, since it is smaller than the sum of its proper divisors (222770464).

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

101208800 is a wasteful number, since it uses less digits than its factorization.

101208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 101208800 is about 10060.2584459844. The cubic root of 101208800 is about 466.0216485611.

The spelling of 101208800 in words is "one hundred one million, two hundred eight thousand, eight hundred".