100922400 has 216 divisors, whose sum is σ = 361945584. Its totient is φ = 26457600.

The previous prime is 100922383. The next prime is 100922417. The reversal of 100922400 is 4229001.

It is an interprime number because it is at equal distance from previous prime (100922383) and next prime (100922417).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 770335 + ... + 770465.

It is an arithmetic number, because the mean of its divisors is an integer number (1675674).

Almost surely, 2^100922400 is an apocalyptic number.

100922400 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 100922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180972792).

100922400 is an abundant number, since it is smaller than the sum of its proper divisors (261023184).

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

100922400 is a wasteful number, since it uses less digits than its factorization.

100922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100922400 is about 10046.0141349692. The cubic root of 100922400 is about 465.5816515956.

It can be divided in two parts, 1009 and 22400, that added together give a square (23409 = 153²).

The spelling of 100922400 in words is "one hundred million, nine hundred twenty-two thousand, four hundred".