100137712 has 20 divisors (see below), whose sum is σ = 198530200. Its totient is φ = 48904128.

The previous prime is 100137673. The next prime is 100137721. The reversal of 100137712 is 217731001.

It is a super-2 number, since 2×100137712² = 20055122729189888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72087 + ... + 73462.

It is an arithmetic number, because the mean of its divisors is an integer number (9926510).

Almost surely, 2^100137712 is an apocalyptic number.

It is an amenable number.

100137712 is a deficient number, since it is larger than the sum of its proper divisors (98392488).

100137712 is a wasteful number, since it uses less digits than its factorization.

100137712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145600 (or 145594 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 100137712 is about 10006.8832310565. The cubic root of 100137712 is about 464.3718531234.

Adding to 100137712 its reverse (217731001), we get a palindrome (317868713).

The spelling of 100137712 in words is "one hundred million, one hundred thirty-seven thousand, seven hundred twelve".