105516461221 has 8 divisors (see below), whose sum is σ = 115899088320. Its totient is φ = 95616747072.

The previous prime is 105516461207. The next prime is 105516461249. The reversal of 105516461221 is 122164615501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105516461221 - 2¹¹ = 105516459173 is a prime.

It is a super-3 number, since 3×105516461221³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105516461201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120727780 + ... + 120728653.

It is an arithmetic number, because the mean of its divisors is an integer number (14487386040).

Almost surely, 2^105516461221 is an apocalyptic number.

It is an amenable number.

105516461221 is a deficient number, since it is larger than the sum of its proper divisors (10382627099).

105516461221 is a wasteful number, since it uses less digits than its factorization.

105516461221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241456475.

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 105516461221 in words is "one hundred five billion, five hundred sixteen million, four hundred sixty-one thousand, two hundred twenty-one".