105146550304561 has 16 divisors (see below), whose sum is σ = 106780371984000. Its totient is φ = 103514634736128.

The previous prime is 105146550304517. The next prime is 105146550304583. The reversal of 105146550304561 is 165403055641501.

It is a cyclic number.

It is not a de Polignac number, because 105146550304561 - 2⁴¹ = 102947527049009 is a prime.

It is a super-2 number, since 2×105146550304561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105146550304591) 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, 1758009025 + ... + 1758068833.

It is an arithmetic number, because the mean of its divisors is an integer number (6673773249000).

Almost surely, 2^{105146550304561} is an apocalyptic number.

It is an amenable number.

105146550304561 is a deficient number, since it is larger than the sum of its proper divisors (1633821679439).

105146550304561 is a wasteful number, since it uses less digits than its factorization.

105146550304561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75288.

The product of its (nonzero) digits is 1080000, while the sum is 46.

The spelling of 105146550304561 in words is "one hundred five trillion, one hundred forty-six billion, five hundred fifty million, three hundred four thousand, five hundred sixty-one".