105921527041 has 16 divisors (see below), whose sum is σ = 116585640000. Its totient is φ = 96226247040.

The previous prime is 105921527027. The next prime is 105921527057. The reversal of 105921527041 is 140725129501.

It is not a de Polignac number, because 105921527041 - 2⁷ = 105921526913 is a prime.

It is a super-2 number, since 2×105921527041² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105921557041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968625 + ... + 2021713.

It is an arithmetic number, because the mean of its divisors is an integer number (7286602500).

Almost surely, 2^105921527041 is an apocalyptic number.

105921527041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105921527041 is a deficient number, since it is larger than the sum of its proper divisors (10664112959).

105921527041 is an equidigital number, since it uses as much as digits as its factorization.

105921527041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54621 (or 54599 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 105921527041 in words is "one hundred five billion, nine hundred twenty-one million, five hundred twenty-seven thousand, forty-one".