100214400 has 384 divisors, whose sum is σ = 393099840. Its totient is φ = 22118400.

The previous prime is 100214383. The next prime is 100214431. The reversal of 100214400 is 4412001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1372764 + ... + 1372836.

Almost surely, 2^100214400 is an apocalyptic number.

100214400 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 100214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196549920).

100214400 is an abundant number, since it is smaller than the sum of its proper divisors (292885440).

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

100214400 is a wasteful number, since it uses less digits than its factorization.

100214400 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 32, while the sum is 12.

The square root of 100214400 is about 10010.7142602314. The cubic root of 100214400 is about 464.4903654568.

Adding to 100214400 its reverse (4412001), we get a palindrome (104626401).

The spelling of 100214400 in words is "one hundred million, two hundred fourteen thousand, four hundred".