100414200 has 96 divisors (see below), whose sum is σ = 314555760. Its totient is φ = 26496000.

The previous prime is 100414199. The next prime is 100414219. The reversal of 100414200 is 2414001.

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 23 ways as a sum of consecutive naturals, for example, 59772 + ... + 61428.

Almost surely, 2^100414200 is an apocalyptic number.

100414200 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 100414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157277880).

100414200 is an abundant number, since it is smaller than the sum of its proper divisors (214141560).

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

100414200 is a wasteful number, since it uses less digits than its factorization.

100414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1768 counting only the distinct ones).

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

The square root of 100414200 is about 10020.6885990934. The cubic root of 100414200 is about 464.7988492916.

Adding to 100414200 its reverse (2414001), we get a palindrome (102828201).

It can be divided in two parts, 10041 and 4200, that added together give a palindrome (14241).

The spelling of 100414200 in words is "one hundred million, four hundred fourteen thousand, two hundred".