105042000 has 320 divisors, whose sum is σ = 402974208. Its totient is φ = 23040000.

The previous prime is 105041977. The next prime is 105042017. The reversal of 105042000 is 240501.

It is a Cunningham number, because it is equal to 10249²-1.

It is a super-2 number, since 2×105042000² = 22067643528000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1721970 + ... + 1722030.

Almost surely, 2^105042000 is an apocalyptic number.

105042000 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 105042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201487104).

105042000 is an abundant number, since it is smaller than the sum of its proper divisors (297932208).

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

105042000 is a wasteful number, since it uses less digits than its factorization.

105042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 105042000 is about 10248.9999512148. Note that the first 4 decimals coincide. The cubic root of 105042000 is about 471.8322922329.

Adding to 105042000 its reverse (240501), we get a palindrome (105282501).

The spelling of 105042000 in words is "one hundred five million, forty-two thousand".