42012100 has 72 divisors (see below), whose sum is σ = 104008968. Its totient is φ = 14592000.

The previous prime is 42012079. The next prime is 42012107. The reversal of 42012100 is 121024.

It can be written as a sum of positive squares in 12 ways, for example, as 22810176 + 19201924 = 4776^2 + 4382^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (42012107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21150 + ... + 23050.

It is an arithmetic number, because the mean of its divisors is an integer number (1444569).

Almost surely, 2^42012100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52004484).

42012100 is an abundant number, since it is smaller than the sum of its proper divisors (61996868).

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

42012100 is a wasteful number, since it uses less digits than its factorization.

42012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 42012100 is about 6481.6741664480. The cubic root of 42012100 is about 347.6360421743.

Adding to 42012100 its reverse (121024), we get a palindrome (42133124).

It can be divided in two parts, 4201 and 2100, that multiplied together give a triangular number (8822100 = T₄₂₀₀).

The spelling of 42012100 in words is "forty-two million, twelve thousand, one hundred".