101870800 has 120 divisors (see below), whose sum is σ = 264036672. Its totient is φ = 37632000.

The previous prime is 101870789. The next prime is 101870807. The reversal of 101870800 is 8078101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101870807) 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 23 ways as a sum of consecutive naturals, for example, 482695 + ... + 482905.

Almost surely, 2^101870800 is an apocalyptic number.

101870800 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 101870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132018336).

101870800 is an abundant number, since it is smaller than the sum of its proper divisors (162165872).

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

101870800 is a wasteful number, since it uses less digits than its factorization.

101870800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 25.

The square root of 101870800 is about 10093.1065584388. The cubic root of 101870800 is about 467.0355133806.

The spelling of 101870800 in words is "one hundred one million, eight hundred seventy thousand, eight hundred".