42107100 has 72 divisors (see below), whose sum is σ = 139241088. Its totient is φ = 9624000.

The previous prime is 42107029. The next prime is 42107111. The reversal of 42107100 is 170124.

42107100 = T₁₃₀ + T₁₃₁ + ... + T₆₃₃.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42107100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7926 + ... + 12125.

It is an arithmetic number, because the mean of its divisors is an integer number (1933904).

Almost surely, 2^42107100 is an apocalyptic number.

It is an amenable number.

42107100 is an abundant number, since it is smaller than the sum of its proper divisors (97133988).

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

42107100 is a wasteful number, since it uses less digits than its factorization.

42107100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20075 (or 20068 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 42107100 is about 6488.9983818768. The cubic root of 42107100 is about 347.8978759657.

Adding to 42107100 its reverse (170124), we get a palindrome (42277224).

The spelling of 42107100 in words is "forty-two million, one hundred seven thousand, one hundred".