37442106 has 24 divisors (see below), whose sum is σ = 87365460. Its totient is φ = 11520576.

The previous prime is 37442101. The next prime is 37442117. The reversal of 37442106 is 60124473.

37442106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36108081 + 1334025 = 6009^2 + 1155^2 .

It is a super-2 number, since 2×37442106² = 2803822603430472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37442106.

It is not an unprimeable number, because it can be changed into a prime (37442101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79771 + ... + 80238.

Almost surely, 2^37442106 is an apocalyptic number.

37442106 is an abundant number, since it is smaller than the sum of its proper divisors (49923354).

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

37442106 is a wasteful number, since it uses less digits than its factorization.

37442106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160030 (or 160027 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 37442106 is about 6118.9955058000. The cubic root of 37442106 is about 334.5441367621.

Adding to 37442106 its reverse (60124473), we get a palindrome (97566579).

It can be divided in two parts, 3744210 and 6, that added together give a triangular number (3744216 = T₂₇₃₆).

The spelling of 37442106 in words is "thirty-seven million, four hundred forty-two thousand, one hundred six".