100914084 has 36 divisors (see below), whose sum is σ = 263887260. Its totient is φ = 32477760.

The previous prime is 100914061. The next prime is 100914089. The reversal of 100914084 is 480419001.

It can be written as a sum of positive squares in 2 ways, for example, as 72590400 + 28323684 = 8520^2 + 5322^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (100914089) 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, 47287 + ... + 49374.

Almost surely, 2^100914084 is an apocalyptic number.

It is an amenable number.

100914084 is an abundant number, since it is smaller than the sum of its proper divisors (162973176).

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

100914084 is a wasteful number, since it uses less digits than its factorization.

100914084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96700 (or 96695 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100914084 is about 10045.6002309469. The cubic root of 100914084 is about 465.5688632772.

The spelling of 100914084 in words is "one hundred million, nine hundred fourteen thousand, eighty-four".