101984400 has 480 divisors, whose sum is σ = 442828800. Its totient is φ = 21772800.

The previous prime is 101984371. The next prime is 101984413. The reversal of 101984400 is 4489101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1436365 + ... + 1436435.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2^101984400 is an apocalyptic number.

101984400 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 101984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221414400).

101984400 is an abundant number, since it is smaller than the sum of its proper divisors (340844400).

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

101984400 is a wasteful number, since it uses less digits than its factorization.

101984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101984400 is about 10098.7325937466. The cubic root of 101984400 is about 467.2090519060.

The spelling of 101984400 in words is "one hundred one million, nine hundred eighty-four thousand, four hundred".