105116001461681 has 16 divisors (see below), whose sum is σ = 120764506748928. Its totient is φ = 89625502771200.

The previous prime is 105116001461663. The next prime is 105116001461687. The reversal of 105116001461681 is 186164100611501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105116001461681 - 2²⁶ = 105115934352817 is a prime.

It is a super-2 number, since 2×105116001461681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105116001461687) 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, 54664721 + ... + 56554961.

It is an arithmetic number, because the mean of its divisors is an integer number (7547781671808).

Almost surely, 2^{105116001461681} is an apocalyptic number.

It is an amenable number.

105116001461681 is a deficient number, since it is larger than the sum of its proper divisors (15648505287247).

105116001461681 is a wasteful number, since it uses less digits than its factorization.

105116001461681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932032.

The product of its (nonzero) digits is 34560, while the sum is 41.

The spelling of 105116001461681 in words is "one hundred five trillion, one hundred sixteen billion, one million, four hundred sixty-one thousand, six hundred eighty-one".