105271721442 has 320 divisors, whose sum is σ = 266963558400. Its totient is φ = 30862944000.

The previous prime is 105271721431. The next prime is 105271721453. The reversal of 105271721442 is 244127172501.

105271721442 is a `hidden beast` number, since 10 + 527 + 1 + 72 + 14 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (105271721431) and next prime (105271721453).

It is a super-2 number, since 2×105271721442² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105271721397 and 105271721406.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 277761609 + ... + 277761987.

It is an arithmetic number, because the mean of its divisors is an integer number (834261120).

Almost surely, 2^105271721442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105271721442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133481779200).

105271721442 is an abundant number, since it is smaller than the sum of its proper divisors (161691836958).

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

105271721442 is a wasteful number, since it uses less digits than its factorization.

105271721442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 105271721442 its reverse (244127172501), we get a palindrome (349398893943).

The spelling of 105271721442 in words is "one hundred five billion, two hundred seventy-one million, seven hundred twenty-one thousand, four hundred forty-two".