914976100 has 72 divisors (see below), whose sum is σ = 2093069160. Its totient is φ = 346644480.

The previous prime is 914976043. The next prime is 914976107. The reversal of 914976100 is 1679419.

914976100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 429567076 + 485409024 = 20726^2 + 22032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 914976100.

It is not an unprimeable number, because it can be changed into a prime (914976107) 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, 150724 + ... + 156676.

It is an arithmetic number, because the mean of its divisors is an integer number (29070405).

Almost surely, 2^914976100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914976100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046534580).

914976100 is an abundant number, since it is smaller than the sum of its proper divisors (1178093060).

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

914976100 is a wasteful number, since it uses less digits than its factorization.

914976100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6049 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 914976100 is about 30248.5718671147. The cubic root of 914976100 is about 970.8152355709.

The spelling of 914976100 in words is "nine hundred fourteen million, nine hundred seventy-six thousand, one hundred".