101258091 has 24 divisors (see below), whose sum is σ = 161493696. Its totient is φ = 60624240.

The previous prime is 101258089. The next prime is 101258107. The reversal of 101258091 is 190852101.

It is not a de Polignac number, because 101258091 - 2¹ = 101258089 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (101258021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2056 + ... + 14378.

It is an arithmetic number, because the mean of its divisors is an integer number (6728904).

Almost surely, 2^101258091 is an apocalyptic number.

101258091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101258091 is a deficient number, since it is larger than the sum of its proper divisors (60235605).

101258091 is a wasteful number, since it uses less digits than its factorization.

101258091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12423 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 101258091 is about 10062.7079357398. The cubic root of 101258091 is about 466.0972906825.

The spelling of 101258091 in words is "one hundred one million, two hundred fifty-eight thousand, ninety-one".