105271013892 has 96 divisors (see below), whose sum is σ = 279768029184. Its totient is φ = 30496435200.

The previous prime is 105271013879. The next prime is 105271013899. The reversal of 105271013892 is 298310172501.

It is a happy number.

It is a super-2 number, since 2×105271013892² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105271013892.

It is not an unprimeable number, because it can be changed into a prime (105271013899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6115017 + ... + 6132207.

It is an arithmetic number, because the mean of its divisors is an integer number (2914250304).

Almost surely, 2^105271013892 is an apocalyptic number.

105271013892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105271013892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139884014592).

105271013892 is an abundant number, since it is smaller than the sum of its proper divisors (174497015292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105271013892 is a wasteful number, since it uses less digits than its factorization.

105271013892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19249 (or 19247 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 105271013892 in words is "one hundred five billion, two hundred seventy-one million, thirteen thousand, eight hundred ninety-two".