105016161507 has 8 divisors (see below), whose sum is σ = 141306150480. Its totient is φ = 69368473440.

The previous prime is 105016161499. The next prime is 105016161517. The reversal of 105016161507 is 705161610501.

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

It is not a de Polignac number, because 105016161507 - 2³ = 105016161499 is a prime.

It is a super-2 number, since 2×105016161507² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (105016161517) 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, 160574844 + ... + 160575497.

It is an arithmetic number, because the mean of its divisors is an integer number (17663268810).

Almost surely, 2^105016161507 is an apocalyptic number.

105016161507 is a deficient number, since it is larger than the sum of its proper divisors (36289988973).

105016161507 is a wasteful number, since it uses less digits than its factorization.

105016161507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321150453.

The product of its (nonzero) digits is 6300, while the sum is 33.

The spelling of 105016161507 in words is "one hundred five billion, sixteen million, one hundred sixty-one thousand, five hundred seven".