10117842 has 64 divisors (see below), whose sum is σ = 25190400. Its totient is φ = 2643840.

The previous prime is 10117841. The next prime is 10117847. The reversal of 10117842 is 24871101.

It is not an unprimeable number, because it can be changed into a prime (10117841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24534 + ... + 24942.

It is an arithmetic number, because the mean of its divisors is an integer number (393600).

Almost surely, 2^10117842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12595200).

10117842 is an abundant number, since it is smaller than the sum of its proper divisors (15072558).

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

10117842 is a wasteful number, since it uses less digits than its factorization.

10117842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 10117842 is about 3180.8555452897. The cubic root of 10117842 is about 216.2864426761.

Adding to 10117842 its reverse (24871101), we get a palindrome (34988943).

The spelling of 10117842 in words is "ten million, one hundred seventeen thousand, eight hundred forty-two".