100414300 has 72 divisors (see below), whose sum is σ = 255823904. Its totient is φ = 33488640.

The previous prime is 100414271. The next prime is 100414309. The reversal of 100414300 is 3414001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414309) 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, 23962 + ... + 27838.

Almost surely, 2^100414300 is an apocalyptic number.

100414300 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 100414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127911952).

100414300 is an abundant number, since it is smaller than the sum of its proper divisors (155409604).

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

100414300 is a wasteful number, since it uses less digits than its factorization.

100414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 100414300 is about 10020.6935887692. The cubic root of 100414300 is about 464.7990035854.

Adding to 100414300 its reverse (3414001), we get a palindrome (103828301).

It can be divided in two parts, 10041 and 4300, that added together give a palindrome (14341).

The spelling of 100414300 in words is "one hundred million, four hundred fourteen thousand, three hundred".