105092064 has 216 divisors, whose sum is σ = 379812888. Its totient is φ = 27256320.

The previous prime is 105092063. The next prime is 105092089. The reversal of 105092064 is 460290501.

It is a super-3 number, since 3×105092064³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105092063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154894 + ... + 155570.

It is an arithmetic number, because the mean of its divisors is an integer number (1758393).

Almost surely, 2^105092064 is an apocalyptic number.

105092064 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 105092064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189906444).

105092064 is an abundant number, since it is smaller than the sum of its proper divisors (274720824).

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

105092064 is a wasteful number, since it uses less digits than its factorization.

105092064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105092064 is about 10251.4420449028. The cubic root of 105092064 is about 471.9072402222.

The spelling of 105092064 in words is "one hundred five million, ninety-two thousand, sixty-four".