10357842 has 32 divisors (see below), whose sum is σ = 22803264. Its totient is φ = 3136320.

The previous prime is 10357829. The next prime is 10357847. The reversal of 10357842 is 24875301.

It is a super-3 number, since 3×10357842³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10357847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7338 + ... + 8634.

It is an arithmetic number, because the mean of its divisors is an integer number (712602).

Almost surely, 2^10357842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10357842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11401632).

10357842 is an abundant number, since it is smaller than the sum of its proper divisors (12445422).

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

10357842 is a wasteful number, since it uses less digits than its factorization.

10357842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 10357842 is about 3218.3601414385. The cubic root of 10357842 is about 217.9832352509.

The spelling of 10357842 in words is "ten million, three hundred fifty-seven thousand, eight hundred forty-two".