105225352251541 has 12 divisors (see below), whose sum is σ = 106545546952740. Its totient is φ = 103908395972480.

The previous prime is 105225352251521. The next prime is 105225352251559. The reversal of 105225352251541 is 145152253522501.

It can be written as a sum of positive squares in 6 ways, for example, as 27107860923441 + 78117491328100 = 5206521^2 + 8838410^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105225352251541 is a prime.

It is a super-2 number, since 2×105225352251541² (a number of 29 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 (105225352251521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52190751 + ... + 54169411.

It is an arithmetic number, because the mean of its divisors is an integer number (8878795579395).

Almost surely, 2^{105225352251541} is an apocalyptic number.

It is an amenable number.

105225352251541 is a deficient number, since it is larger than the sum of its proper divisors (1320194701199).

105225352251541 is an frugal number, since it uses more digits than its factorization.

105225352251541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980296 (or 1979523 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 43.

The spelling of 105225352251541 in words is "one hundred five trillion, two hundred twenty-five billion, three hundred fifty-two million, two hundred fifty-one thousand, five hundred forty-one".