100506414 has 32 divisors (see below), whose sum is σ = 213801120. Its totient is φ = 31388672.

The previous prime is 100506401. The next prime is 100506421. The reversal of 100506414 is 414605001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21652 + ... + 25880.

It is an arithmetic number, because the mean of its divisors is an integer number (6681285).

Almost surely, 2^100506414 is an apocalyptic number.

100506414 is an abundant number, since it is smaller than the sum of its proper divisors (113294706).

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

100506414 is a wasteful number, since it uses less digits than its factorization.

100506414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 100506414 is about 10025.2887240219. The cubic root of 100506414 is about 464.9410863042.

The spelling of 100506414 in words is "one hundred million, five hundred six thousand, four hundred fourteen".