105325416 has 96 divisors (see below), whose sum is σ = 332242560. Its totient is φ = 29517696.

The previous prime is 105325411. The next prime is 105325453. The reversal of 105325416 is 614523501.

It is a super-2 number, since 2×105325416² = 22186886511146112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105325416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105325411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24741 + ... + 28683.

It is an arithmetic number, because the mean of its divisors is an integer number (3460860).

Almost surely, 2^105325416 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 105325416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166121280).

105325416 is an abundant number, since it is smaller than the sum of its proper divisors (226917144).

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

105325416 is a wasteful number, since it uses less digits than its factorization.

105325416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105325416 is about 10262.8171570968. The cubic root of 105325416 is about 472.2562646513.

Adding to 105325416 its reverse (614523501), we get a palindrome (719848917).

The spelling of 105325416 in words is "one hundred five million, three hundred twenty-five thousand, four hundred sixteen".