10102842 has 36 divisors (see below), whose sum is σ = 22904154. Its totient is φ = 3218160.

The previous prime is 10102837. The next prime is 10102847. The reversal of 10102842 is 24820101.

It is an interprime number because it is at equal distance from previous prime (10102837) and next prime (10102847).

It can be written as a sum of positive squares in only one way, i.e., 8003241 + 2099601 = 2829^2 + 1449^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 (10102847) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8992 + ... + 10052.

Almost surely, 2^10102842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11452077).

10102842 is an abundant number, since it is smaller than the sum of its proper divisors (12801312).

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

10102842 is a wasteful number, since it uses less digits than its factorization.

10102842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1089 counting only the distinct ones).

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

The square root of 10102842 is about 3178.4968145336. The cubic root of 10102842 is about 216.1795061305.

Adding to 10102842 its reverse (24820101), we get a palindrome (34922943).

The spelling of 10102842 in words is "ten million, one hundred two thousand, eight hundred forty-two".