105342450461025 has 96 divisors (see below), whose sum is σ = 181993792401792. Its totient is φ = 53715020236800.

The previous prime is 105342450461023. The next prime is 105342450461047. The reversal of 105342450461025 is 520164054243501.

It is not a de Polignac number, because 105342450461025 - 2¹ = 105342450461023 is a prime.

It is a super-2 number, since 2×105342450461025² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105342450461023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138638794 + ... + 139396556.

It is an arithmetic number, because the mean of its divisors is an integer number (1895768670852).

Almost surely, 2^{105342450461025} is an apocalyptic number.

105342450461025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105342450461025 is a deficient number, since it is larger than the sum of its proper divisors (76651341940767).

105342450461025 is a wasteful number, since it uses less digits than its factorization.

105342450461025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758723 (or 758718 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 105342450461025 in words is "one hundred five trillion, three hundred forty-two billion, four hundred fifty million, four hundred sixty-one thousand, twenty-five".