100137107807 has 8 divisors (see below), whose sum is σ = 111780958080. Its totient is φ = 88916670360.

The previous prime is 100137107797. The next prime is 100137107809. The reversal of 100137107807 is 708701731001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100137107807 - 2³⁰ = 99063365983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100137107809) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 105852707 + ... + 105853652.

It is an arithmetic number, because the mean of its divisors is an integer number (13972619760).

Almost surely, 2^100137107807 is an apocalyptic number.

100137107807 is a deficient number, since it is larger than the sum of its proper divisors (11643850273).

100137107807 is a wasteful number, since it uses less digits than its factorization.

100137107807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211706413.

The product of its (nonzero) digits is 8232, while the sum is 35.

Adding to 100137107807 its reverse (708701731001), we get a palindrome (808838838808).

The spelling of 100137107807 in words is "one hundred billion, one hundred thirty-seven million, one hundred seven thousand, eight hundred seven".