105468156 has 60 divisors (see below), whose sum is σ = 287722512. Its totient is φ = 33625152.

The previous prime is 105468109. The next prime is 105468161. The reversal of 105468156 is 651864501.

It is a super-2 number, since 2×105468156² = 22247063860080672, 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 105468156.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 376 + ... + 14528.

Almost surely, 2^105468156 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 105468156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143861256).

105468156 is an abundant number, since it is smaller than the sum of its proper divisors (182254356).

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

105468156 is a wasteful number, since it uses less digits than its factorization.

105468156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14192 (or 14181 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 105468156 is about 10269.7690334301. The cubic root of 105468156 is about 472.4695067245.

The spelling of 105468156 in words is "one hundred five million, four hundred sixty-eight thousand, one hundred fifty-six".