100412400 has 120 divisors (see below), whose sum is σ = 350941824. Its totient is φ = 24339200.

The previous prime is 100412383. The next prime is 100412407. The reversal of 100412400 is 4214001.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100412407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9397 + ... + 17003.

Almost surely, 2^100412400 is an apocalyptic number.

100412400 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 100412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175470912).

100412400 is an abundant number, since it is smaller than the sum of its proper divisors (250529424).

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

100412400 is a wasteful number, since it uses less digits than its factorization.

100412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100412400 is about 10020.5987845038. The cubic root of 100412400 is about 464.7960719854.

Adding to 100412400 its reverse (4214001), we get a palindrome (104626401).

The spelling of 100412400 in words is "one hundred million, four hundred twelve thousand, four hundred".