65042100 has 54 divisors (see below), whose sum is σ = 203873670. Its totient is φ = 17344320.

The previous prime is 65042071. The next prime is 65042141. The reversal of 65042100 is 124056.

It is a happy number.

65042100 is a `hidden beast` number, since 650 + 4 + 2 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1648656 + 63393444 = 1284^2 + 7962^2 .

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 17 ways as a sum of consecutive naturals, for example, 35235 + ... + 37034.

Almost surely, 2^65042100 is an apocalyptic number.

65042100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65042100 is an abundant number, since it is smaller than the sum of its proper divisors (138831570).

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

65042100 is a wasteful number, since it uses less digits than its factorization.

65042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72289 (or 72279 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 65042100 is about 8064.8682568285. The cubic root of 65042100 is about 402.1593635625.

Adding to 65042100 its reverse (124056), we get a palindrome (65166156).

The spelling of 65042100 in words is "sixty-five million, forty-two thousand, one hundred".