100748137 has 16 divisors (see below), whose sum is σ = 122435712. Its totient is φ = 80928000.

The previous prime is 100748129. The next prime is 100748159. The reversal of 100748137 is 731847001.

It is a cyclic number.

It is not a de Polignac number, because 100748137 - 2³ = 100748129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100748099 and 100748108.

It is not an unprimeable number, because it can be changed into a prime (100749137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28183 + ... + 31555.

It is an arithmetic number, because the mean of its divisors is an integer number (7652232).

Almost surely, 2^100748137 is an apocalyptic number.

100748137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100748137 is a deficient number, since it is larger than the sum of its proper divisors (21687575).

100748137 is a wasteful number, since it uses less digits than its factorization.

100748137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648.

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 100748137 is about 10037.3371468732. The cubic root of 100748137 is about 465.3135234823.

The spelling of 100748137 in words is "one hundred million, seven hundred forty-eight thousand, one hundred thirty-seven".