10140075 has 72 divisors (see below), whose sum is σ = 21065616. Its totient is φ = 4608000.

The previous prime is 10140071. The next prime is 10140077. The reversal of 10140075 is 57004101.

It is not a de Polignac number, because 10140075 - 2² = 10140071 is a prime.

It is a super-3 number, since 3×10140075³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10140071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41955 + ... + 42195.

It is an arithmetic number, because the mean of its divisors is an integer number (292578).

Almost surely, 2^10140075 is an apocalyptic number.

10140075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10140075 is an abundant number, since it is smaller than the sum of its proper divisors (10925541).

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

10140075 is a wasteful number, since it uses less digits than its factorization.

10140075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10140075 is about 3184.3484419893. The cubic root of 10140075 is about 216.4447497721. Note that the first 3 decimals are identical.

Adding to 10140075 its reverse (57004101), we get a palindrome (67144176).

It can be divided in two parts, 101400 and 75, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 10140075 in words is "ten million, one hundred forty thousand, seventy-five".