108242400 has 288 divisors, whose sum is σ = 427472640. Its totient is φ = 23224320.

The previous prime is 108242389. The next prime is 108242437. The reversal of 108242400 is 4242801.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 285411 + ... + 285789.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^108242400 is an apocalyptic number.

108242400 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 108242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

108242400 is an abundant number, since it is smaller than the sum of its proper divisors (319230240).

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

108242400 is a wasteful number, since it uses less digits than its factorization.

108242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 108242400 is about 10403.9607842398. The cubic root of 108242400 is about 476.5763327168.

The spelling of 108242400 in words is "one hundred eight million, two hundred forty-two thousand, four hundred".