42102036 has 72 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 13561536.

The previous prime is 42102019. The next prime is 42102037. The reversal of 42102036 is 63020124.

It is a happy number.

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 (42102037) 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, 252025 + ... + 252191.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^42102036 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 42102036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

42102036 is an abundant number, since it is smaller than the sum of its proper divisors (67971564).

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

42102036 is a wasteful number, since it uses less digits than its factorization.

42102036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42102036 is about 6488.6081712491. The cubic root of 42102036 is about 347.8839287892.

The spelling of 42102036 in words is "forty-two million, one hundred two thousand, thirty-six".