105959364 has 72 divisors (see below), whose sum is σ = 296932608. Its totient is φ = 29292480.

The previous prime is 105959363. The next prime is 105959383. The reversal of 105959364 is 463959501.

It is a super-2 number, since 2×105959364² = 22454773638568992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (105959363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15322 + ... + 21134.

It is an arithmetic number, because the mean of its divisors is an integer number (4124064).

Almost surely, 2^105959364 is an apocalyptic number.

105959364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105959364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148466304).

105959364 is an abundant number, since it is smaller than the sum of its proper divisors (190973244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105959364 is a wasteful number, since it uses less digits than its factorization.

105959364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 105959364 is about 10293.6564932001. The cubic root of 105959364 is about 473.2018650067.

The spelling of 105959364 in words is "one hundred five million, nine hundred fifty-nine thousand, three hundred sixty-four".