105271167100 has 144 divisors (see below), whose sum is σ = 258983424000. Its totient is φ = 36795168000.

The previous prime is 105271167059. The next prime is 105271167107. The reversal of 105271167100 is 1761172501.

It is a happy number.

It is a super-2 number, since 2×105271167100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105271167107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5070541 + ... + 5091259.

It is an arithmetic number, because the mean of its divisors is an integer number (1798496000).

Almost surely, 2^105271167100 is an apocalyptic number.

105271167100 is a gapful number since it is divisible by the number (10) 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 105271167100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129491712000).

105271167100 is an abundant number, since it is smaller than the sum of its proper divisors (153712256900).

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

105271167100 is a wasteful number, since it uses less digits than its factorization.

105271167100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20924 (or 20917 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 31.

The spelling of 105271167100 in words is "one hundred five billion, two hundred seventy-one million, one hundred sixty-seven thousand, one hundred".