100135714 has 12 divisors (see below), whose sum is σ = 174726774. Its totient is φ = 42915264.

The previous prime is 100135667. The next prime is 100135771. The reversal of 100135714 is 417531001.

It can be written as a sum of positive squares in only one way, i.e., 58752225 + 41383489 = 7665^2 + 6433^2 .

It is a super-2 number, since 2×100135714² = 20054322436579592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510799 + ... + 510994.

Almost surely, 2^100135714 is an apocalyptic number.

100135714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100135714 is a deficient number, since it is larger than the sum of its proper divisors (74591060).

100135714 is a wasteful number, since it uses less digits than its factorization.

100135714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021809 (or 1021802 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 100135714 is about 10006.7833992747. The cubic root of 100135714 is about 464.3687646395.

Adding to 100135714 its reverse (417531001), we get a palindrome (517666715).

The spelling of 100135714 in words is "one hundred million, one hundred thirty-five thousand, seven hundred fourteen".