101268791 has 8 divisors (see below), whose sum is σ = 110595744. Its totient is φ = 92161440.

The previous prime is 101268781. The next prime is 101268823. The reversal of 101268791 is 197862101.

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 101268791 - 2¹⁰ = 101267767 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 (101268751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53936 + ... + 55781.

It is an arithmetic number, because the mean of its divisors is an integer number (13824468).

Almost surely, 2^101268791 is an apocalyptic number.

101268791 is a deficient number, since it is larger than the sum of its proper divisors (9326953).

101268791 is a wasteful number, since it uses less digits than its factorization.

101268791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109801.

The product of its (nonzero) digits is 6048, while the sum is 35.

The square root of 101268791 is about 10063.2395877272. The cubic root of 101268791 is about 466.1137076927.

The spelling of 101268791 in words is "one hundred one million, two hundred sixty-eight thousand, seven hundred ninety-one".