42107600 has 30 divisors (see below), whose sum is σ = 101164470. Its totient is φ = 16842880.

The previous prime is 42107587. The next prime is 42107609. The reversal of 42107600 is 670124.

It can be written as a sum of positive squares in 3 ways, for example, as 13456 + 42094144 = 116^2 + 6488^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42107609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52235 + ... + 53034.

It is an arithmetic number, because the mean of its divisors is an integer number (3372149).

Almost surely, 2^42107600 is an apocalyptic number.

42107600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42107600 is an abundant number, since it is smaller than the sum of its proper divisors (59056870).

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

42107600 is a wasteful number, since it uses less digits than its factorization.

42107600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105287 (or 105276 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 42107600 is about 6489.0369085096. The cubic root of 42107600 is about 347.8992529960.

Adding to 42107600 its reverse (670124), we get a palindrome (42777724).

It can be divided in two parts, 4210 and 7600, that multiplied together give a triangular number (31996000 = T₇₉₉₉).

The spelling of 42107600 in words is "forty-two million, one hundred seven thousand, six hundred".