100414620 has 96 divisors (see below), whose sum is σ = 328876800. Its totient is φ = 25365312.

The previous prime is 100414603. The next prime is 100414649. The reversal of 100414620 is 26414001.

100414620 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 4 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100414593 and 100414602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5367 + ... + 15153.

It is an arithmetic number, because the mean of its divisors is an integer number (3425800).

Almost surely, 2^100414620 is an apocalyptic number.

100414620 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 100414620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164438400).

100414620 is an abundant number, since it is smaller than the sum of its proper divisors (228462180).

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

100414620 is a wasteful number, since it uses less digits than its factorization.

100414620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824 (or 9816 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100414620 is about 10020.7095557151. The cubic root of 100414620 is about 464.7994973249.

Adding to 100414620 its reverse (26414001), we get a palindrome (126828621).

The spelling of 100414620 in words is "one hundred million, four hundred fourteen thousand, six hundred twenty".