105991919 has 8 divisors (see below), whose sum is σ = 115920720. Its totient is φ = 96112000.

The previous prime is 105991867. The next prime is 105991931. The reversal of 105991919 is 919199501.

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 105991919 - 2¹² = 105987823 is a prime.

It is a super-2 number, since 2×105991919² = 22468573786605122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105991919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105991979) 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, 7604 + ... + 16425.

It is an arithmetic number, because the mean of its divisors is an integer number (14490090).

Almost surely, 2^105991919 is an apocalyptic number.

105991919 is a deficient number, since it is larger than the sum of its proper divisors (9928801).

105991919 is a wasteful number, since it uses less digits than its factorization.

105991919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24441.

The product of its (nonzero) digits is 32805, while the sum is 44.

The square root of 105991919 is about 10295.2376854544. The cubic root of 105991919 is about 473.2503222917.

The spelling of 105991919 in words is "one hundred five million, nine hundred ninety-one thousand, nine hundred nineteen".