10105004991 has 8 divisors (see below), whose sum is σ = 13837484464. Its totient is φ = 6554597760.

The previous prime is 10105004953. The next prime is 10105005007. The reversal of 10105004991 is 19940050101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10105004991 - 2¹³ = 10104996799 is a prime.

It is a super-2 number, since 2×10105004991² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105004941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45517930 + ... + 45518151.

It is an arithmetic number, because the mean of its divisors is an integer number (1729685558).

Almost surely, 2^10105004991 is an apocalyptic number.

10105004991 is a deficient number, since it is larger than the sum of its proper divisors (3732479473).

10105004991 is an equidigital number, since it uses as much as digits as its factorization.

10105004991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91036121.

The product of its (nonzero) digits is 1620, while the sum is 30.

The spelling of 10105004991 in words is "ten billion, one hundred five million, four thousand, nine hundred ninety-one".