105145000 has 80 divisors (see below), whose sum is σ = 261057060. Its totient is φ = 39552000.

The previous prime is 105144989. The next prime is 105145003. The reversal of 105145000 is 541501.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 484 + 105144516 = 22^2 + 10254^2 .

It is a super-2 number, since 2×105145000² = 22110942050000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105145003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84382 + ... + 85618.

Almost surely, 2^105145000 is an apocalyptic number.

105145000 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 105145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130528530).

105145000 is an abundant number, since it is smaller than the sum of its proper divisors (155912060).

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

105145000 is a wasteful number, since it uses less digits than its factorization.

105145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 105145000 is about 10254.0236005190. The cubic root of 105145000 is about 471.9864618352.

Adding to 105145000 its reverse (541501), we get a palindrome (105686501).

The spelling of 105145000 in words is "one hundred five million, one hundred forty-five thousand".