105338268 has 36 divisors (see below), whose sum is σ = 304311280. Its totient is φ = 30096576.

The previous prime is 105338267. The next prime is 105338269. The reversal of 105338268 is 862833501.

It is an interprime number because it is at equal distance from previous prime (105338267) and next prime (105338269).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105338268² = 22192301410479648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105338263) 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, 208753 + ... + 209256.

Almost surely, 2^105338268 is an apocalyptic number.

105338268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105338268 is an abundant number, since it is smaller than the sum of its proper divisors (198973012).

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

105338268 is a wasteful number, since it uses less digits than its factorization.

105338268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418026 (or 418021 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 105338268 is about 10263.4432818621. The cubic root of 105338268 is about 472.2754723946.

It can be divided in two parts, 10 and 5338268, that added together give a triangular number (5338278 = T₃₂₆₇).

The spelling of 105338268 in words is "one hundred five million, three hundred thirty-eight thousand, two hundred sixty-eight".