42100842 has 32 divisors (see below), whose sum is σ = 96499584. Its totient is φ = 11995200.

The previous prime is 42100831. The next prime is 42100853. The reversal of 42100842 is 24800124.

It is an interprime number because it is at equal distance from previous prime (42100831) and next prime (42100853).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16492 + ... + 18872.

It is an arithmetic number, because the mean of its divisors is an integer number (3015612).

Almost surely, 2^42100842 is an apocalyptic number.

42100842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42100842 is an abundant number, since it is smaller than the sum of its proper divisors (54398742).

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

42100842 is a wasteful number, since it uses less digits than its factorization.

42100842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42100842 is about 6488.5161631917. The cubic root of 42100842 is about 347.8806401332.

Adding to 42100842 its reverse (24800124), we get a palindrome (66900966).

It can be divided in two parts, 42 and 100842, that multiplied together give a square (4235364 = 2058²).

The spelling of 42100842 in words is "forty-two million, one hundred thousand, eight hundred forty-two".