42101008 has 20 divisors (see below), whose sum is σ = 82216960. Its totient is φ = 20883744.

The previous prime is 42100997. The next prime is 42101021. The reversal of 42101008 is 80010124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 42100982 and 42101000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8328 + ... + 12391.

It is an arithmetic number, because the mean of its divisors is an integer number (4110848).

Almost surely, 2^42101008 is an apocalyptic number.

It is an amenable number.

42101008 is a deficient number, since it is larger than the sum of its proper divisors (40115952).

42101008 is a wasteful number, since it uses less digits than its factorization.

42101008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20854 (or 20848 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 42101008 is about 6488.5289550098. The cubic root of 42101008 is about 347.8810973537.

It can be divided in two parts, 4 and 2101008, that added together give a palindrome (2101012).

The spelling of 42101008 in words is "forty-two million, one hundred one thousand, eight".