105314000 has 80 divisors (see below), whose sum is σ = 277857216. Its totient is φ = 38288000.

The previous prime is 105313991. The next prime is 105314003. The reversal of 105314000 is 413501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105314000² = 22182077192000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105314003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19607 + ... + 24393.

Almost surely, 2^105314000 is an apocalyptic number.

105314000 is a gapful number since it is divisible by the number (10) 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 105314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138928608).

105314000 is an abundant number, since it is smaller than the sum of its proper divisors (172543216).

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

105314000 is a wasteful number, since it uses less digits than its factorization.

105314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 105314000 is about 10262.2609594572. The cubic root of 105314000 is about 472.2392017475.

Adding to 105314000 its reverse (413501), we get a palindrome (105727501).

The spelling of 105314000 in words is "one hundred five million, three hundred fourteen thousand".