105378959 has 12 divisors (see below), whose sum is σ = 129036600. Its totient is φ = 85570128.

The previous prime is 105378943. The next prime is 105378961. The reversal of 105378959 is 959873501.

It is not a de Polignac number, because 105378959 - 2⁴ = 105378943 is a prime.

It is a super-2 number, since 2×105378959² = 22209449999847362, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105378989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55664 + ... + 57525.

It is an arithmetic number, because the mean of its divisors is an integer number (10753050).

Almost surely, 2^105378959 is an apocalyptic number.

105378959 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105378959 is a deficient number, since it is larger than the sum of its proper divisors (23657641).

105378959 is a wasteful number, since it uses less digits than its factorization.

105378959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113222 (or 113215 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 47.

The square root of 105378959 is about 10265.4254173902. The cubic root of 105378959 is about 472.3362761514.

The spelling of 105378959 in words is "one hundred five million, three hundred seventy-eight thousand, nine hundred fifty-nine".