42362100 has 162 divisors, whose sum is σ = 146325270. Its totient is φ = 10243200.

The previous prime is 42362071. The next prime is 42362123. The reversal of 42362100 is 126324.

It is a happy number.

42362100 is a `hidden beast` number, since 42 + 3 + 621 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 527076 + 41835024 = 726^2 + 6468^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 108706 + ... + 109094.

Almost surely, 2^42362100 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 42362100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73162635).

42362100 is an abundant number, since it is smaller than the sum of its proper divisors (103963170).

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

42362100 is a wasteful number, since it uses less digits than its factorization.

42362100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 410 counting only the distinct ones).

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

The square root of 42362100 is about 6508.6173646943. The cubic root of 42362100 is about 348.5987512336.

Adding to 42362100 its reverse (126324), we get a palindrome (42488424).

It can be divided in two parts, 4236 and 2100, that added together give a palindrome (6336).

The spelling of 42362100 in words is "forty-two million, three hundred sixty-two thousand, one hundred".