42101262 has 64 divisors (see below), whose sum is σ = 107888640. Its totient is φ = 11920608.

The previous prime is 42101261. The next prime is 42101273. The reversal of 42101262 is 26210124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42101261) 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, 47568 + ... + 48444.

It is an arithmetic number, because the mean of its divisors is an integer number (1685760).

Almost surely, 2^42101262 is an apocalyptic number.

42101262 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42101262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53944320).

42101262 is an abundant number, since it is smaller than the sum of its proper divisors (65787378).

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

42101262 is a wasteful number, since it uses less digits than its factorization.

42101262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42101262 is about 6488.5485279837. The cubic root of 42101262 is about 347.8817969539.

Adding to 42101262 its reverse (26210124), we get a palindrome (68311386).

It can be divided in two parts, 4 and 2101262, that multiplied together give a palindrome (8405048).

The spelling of 42101262 in words is "forty-two million, one hundred one thousand, two hundred sixty-two".