105345396 has 72 divisors (see below), whose sum is σ = 303665544. Its totient is φ = 30504960.

The previous prime is 105345389. The next prime is 105345403. The reversal of 105345396 is 693543501.

It is an interprime number because it is at equal distance from previous prime (105345389) and next prime (105345403).

It can be written as a sum of positive squares in 4 ways, for example, as 44036496 + 61308900 = 6636^2 + 7830^2 .

It is a super-2 number, since 2×105345396² = 22195304916793632, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105345396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336 + ... + 14576.

It is an arithmetic number, because the mean of its divisors is an integer number (4217577).

Almost surely, 2^105345396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105345396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151832772).

105345396 is an abundant number, since it is smaller than the sum of its proper divisors (198320148).

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

105345396 is a wasteful number, since it uses less digits than its factorization.

105345396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13281 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 105345396 is about 10263.7905278703. The cubic root of 105345396 is about 472.2861247552.

Adding to 105345396 its reverse (693543501), we get a palindrome (798888897).

The spelling of 105345396 in words is "one hundred five million, three hundred forty-five thousand, three hundred ninety-six".