68742100 has 54 divisors (see below), whose sum is σ = 173537070. Its totient is φ = 23567040.

The previous prime is 68742083. The next prime is 68742127. The reversal of 68742100 is 124786.

It can be written as a sum of positive squares in 3 ways, for example, as 283024 + 68459076 = 532^2 + 8274^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2115 + ... + 11914.

Almost surely, 2^68742100 is an apocalyptic number.

It is an amenable number.

68742100 is an abundant number, since it is smaller than the sum of its proper divisors (104794970).

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

68742100 is a wasteful number, since it uses less digits than its factorization.

68742100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14057 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 68742100 is about 8291.0855742780. The cubic root of 68742100 is about 409.6449434555.

Adding to 68742100 its reverse (124786), we get a palindrome (68866886).

The spelling of 68742100 in words is "sixty-eight million, seven hundred forty-two thousand, one hundred".