105116619 has 8 divisors (see below), whose sum is σ = 144988560. Its totient is φ = 67661216.

The previous prime is 105116617. The next prime is 105116633. The reversal of 105116619 is 916611501.

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 105116619 - 2¹ = 105116617 is a prime.

It is a super-2 number, since 2×105116619² = 22099007179982322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105116617) 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, 604032 + ... + 604205.

It is an arithmetic number, because the mean of its divisors is an integer number (18123570).

Almost surely, 2^105116619 is an apocalyptic number.

105116619 is a deficient number, since it is larger than the sum of its proper divisors (39871941).

105116619 is a wasteful number, since it uses less digits than its factorization.

105116619 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208269.

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 105116619 is about 10252.6396113391. The cubic root of 105116619 is about 471.9439914270.

The spelling of 105116619 in words is "one hundred five million, one hundred sixteen thousand, six hundred nineteen".