814900107 has 16 divisors (see below), whose sum is σ = 1243837952. Its totient is φ = 464875200.

The previous prime is 814900103. The next prime is 814900127. The reversal of 814900107 is 701009418.

It is not a de Polignac number, because 814900107 - 2² = 814900103 is a prime.

It is a super-2 number, since 2×814900107² = 1328124368777222898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (814900103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19663 + ... + 44904.

It is an arithmetic number, because the mean of its divisors is an integer number (77739872).

Almost surely, 2^814900107 is an apocalyptic number.

814900107 is a deficient number, since it is larger than the sum of its proper divisors (428937845).

814900107 is a wasteful number, since it uses less digits than its factorization.

814900107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65178.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 814900107 is about 28546.4552440404. The cubic root of 814900107 is about 934.0456989074.

The spelling of 814900107 in words is "eight hundred fourteen million, nine hundred thousand, one hundred seven".