105350359 has 16 divisors (see below), whose sum is σ = 114364800. Its totient is φ = 96816384.

The previous prime is 105350351. The next prime is 105350389. The reversal of 105350359 is 953053501.

It is not a de Polignac number, because 105350359 - 2³ = 105350351 is a prime.

It is a super-2 number, since 2×105350359² = 22197396282857762, 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 105350359.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105350351) 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, 49387 + ... + 51475.

It is an arithmetic number, because the mean of its divisors is an integer number (7147800).

Almost surely, 2^105350359 is an apocalyptic number.

105350359 is a deficient number, since it is larger than the sum of its proper divisors (9014441).

105350359 is a wasteful number, since it uses less digits than its factorization.

105350359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202.

The product of its (nonzero) digits is 10125, while the sum is 31.

The square root of 105350359 is about 10264.0322972991. The cubic root of 105350359 is about 472.2935413717.

It can be divided in two parts, 105 and 350359, that added together give a square (350464 = 592²).

The spelling of 105350359 in words is "one hundred five million, three hundred fifty thousand, three hundred fifty-nine".