10201842 has 64 divisors (see below), whose sum is σ = 26231040. Its totient is φ = 2878848.

The previous prime is 10201837. The next prime is 10201843. The reversal of 10201842 is 24810201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10201843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51688 + ... + 51884.

It is an arithmetic number, because the mean of its divisors is an integer number (409860).

Almost surely, 2^10201842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13115520).

10201842 is an abundant number, since it is smaller than the sum of its proper divisors (16029198).

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

10201842 is a wasteful number, since it uses less digits than its factorization.

10201842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10201842 is about 3194.0322478021. The cubic root of 10201842 is about 216.8833424802.

The spelling of 10201842 in words is "ten million, two hundred one thousand, eight hundred forty-two".