100671137 has 12 divisors (see below), whose sum is σ = 117712980. Its totient is φ = 85843296.

The previous prime is 100671121. The next prime is 100671149. The reversal of 100671137 is 731176001.

It can be written as a sum of positive squares in 2 ways, for example, as 99221521 + 1449616 = 9961^2 + 1204^2 .

It is not a de Polignac number, because 100671137 - 2⁴ = 100671121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100671157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4439 + ... + 14867.

It is an arithmetic number, because the mean of its divisors is an integer number (9809415).

Almost surely, 2^100671137 is an apocalyptic number.

It is an amenable number.

100671137 is a deficient number, since it is larger than the sum of its proper divisors (17041843).

100671137 is a wasteful number, since it uses less digits than its factorization.

100671137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10640 (or 10633 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 100671137 is about 10033.5007350376. The cubic root of 100671137 is about 465.1949496668.

The spelling of 100671137 in words is "one hundred million, six hundred seventy-one thousand, one hundred thirty-seven".