10517742 has 64 divisors (see below), whose sum is σ = 24760320. Its totient is φ = 3304800.

The previous prime is 10517699. The next prime is 10517783. The reversal of 10517742 is 24771501.

It is a super-2 number, since 2×10517742² = 221245793557128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102063 + ... + 102165.

It is an arithmetic number, because the mean of its divisors is an integer number (386880).

Almost surely, 2^10517742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10517742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380160).

10517742 is an abundant number, since it is smaller than the sum of its proper divisors (14242578).

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

10517742 is a wasteful number, since it uses less digits than its factorization.

10517742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 10517742 is about 3243.1068437534. The cubic root of 10517742 is about 219.0992231931.

The spelling of 10517742 in words is "ten million, five hundred seventeen thousand, seven hundred forty-two".