105114000 has 80 divisors (see below), whose sum is σ = 338906880. Its totient is φ = 28028800.

The previous prime is 105113959. The next prime is 105114013. The reversal of 105114000 is 411501.

It is a happy number.

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

It is a super-2 number, since 2×105114000² = 22097905992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2760 + ... + 14759.

It is an arithmetic number, because the mean of its divisors is an integer number (4236336).

Almost surely, 2^105114000 is an apocalyptic number.

105114000 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 105114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169453440).

105114000 is an abundant number, since it is smaller than the sum of its proper divisors (233792880).

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

105114000 is a wasteful number, since it uses less digits than its factorization.

105114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17545 (or 17529 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 105114000 is about 10252.5118873377. The cubic root of 105114000 is about 471.9400718705.

Adding to 105114000 its reverse (411501), we get a palindrome (105525501).

It can be divided in two parts, 1051 and 14000, that added together give a palindrome (15051).

The spelling of 105114000 in words is "one hundred five million, one hundred fourteen thousand".