40105000 has 80 divisors (see below), whose sum is σ = 101358180. Its totient is φ = 14784000.

The previous prime is 40104997. The next prime is 40105001. The reversal of 40105000 is 50104.

It can be written as a sum of positive squares in 10 ways, for example, as 20088324 + 20016676 = 4482^2 + 4474^2 .

It is a super-2 number, since 2×40105000² = 3216822050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (40105001) 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, 64692 + ... + 65308.

Almost surely, 2^40105000 is an apocalyptic number.

40105000 is a gapful number since it is divisible by the number (40) 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 40105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50679090).

40105000 is an abundant number, since it is smaller than the sum of its proper divisors (61253180).

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

40105000 is a wasteful number, since it uses less digits than its factorization.

40105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 40105000 is about 6332.8508588155. The cubic root of 40105000 is about 342.2941736671.

Adding to 40105000 its reverse (50104), we get a palindrome (40155104).

The spelling of 40105000 in words is "forty million, one hundred five thousand".