100414700 has 36 divisors (see below), whose sum is σ = 220038000. Its totient is φ = 39771840.

The previous prime is 100414697. The next prime is 100414703. The reversal of 100414700 is 7414001.

It is an interprime number because it is at equal distance from previous prime (100414697) and next prime (100414703).

It is a super-2 number, since 2×100414700² = 20166223952180000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100414703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5426 + ... + 15174.

Almost surely, 2^100414700 is an apocalyptic number.

100414700 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 100414700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110019000).

100414700 is an abundant number, since it is smaller than the sum of its proper divisors (119623300).

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

100414700 is a wasteful number, since it uses less digits than its factorization.

100414700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9866 (or 9859 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 100414700 is about 10020.7135474476. The cubic root of 100414700 is about 464.7996207596.

Adding to 100414700 its reverse (7414001), we get a palindrome (107828701).

It can be divided in two parts, 10041 and 4700, that added together give a palindrome (14741).

The spelling of 100414700 in words is "one hundred million, four hundred fourteen thousand, seven hundred".