101991159 has 12 divisors (see below), whose sum is σ = 147408352. Its totient is φ = 67953600.

The previous prime is 101991151. The next prime is 101991161. The reversal of 101991159 is 951199101.

It is not a de Polignac number, because 101991159 - 2³ = 101991151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101991151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26274 + ... + 29904.

Almost surely, 2^101991159 is an apocalyptic number.

101991159 is a deficient number, since it is larger than the sum of its proper divisors (45417193).

101991159 is a wasteful number, since it uses less digits than its factorization.

101991159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6755 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 36.

The square root of 101991159 is about 10099.0672341558. The cubic root of 101991159 is about 467.2193730800.

The spelling of 101991159 in words is "one hundred one million, nine hundred ninety-one thousand, one hundred fifty-nine".