68078114100 has 108 divisors (see below), whose sum is σ = 213734656044. Its totient is φ = 18124592640.

The previous prime is 68078114057. The next prime is 68078114101. The reversal of 68078114100 is 141187086.

It can be written as a sum of positive squares in 6 ways, for example, as 36089360784 + 31988753316 = 189972^2 + 178854^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68078114101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 494002 + ... + 616598.

It is an arithmetic number, because the mean of its divisors is an integer number (1979024593).

Almost surely, 2^68078114100 is an apocalyptic number.

68078114100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68078114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106867328022).

68078114100 is an abundant number, since it is smaller than the sum of its proper divisors (145656541944).

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

68078114100 is a wasteful number, since it uses less digits than its factorization.

68078114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123234 (or 123224 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 68078114100 in words is "sixty-eight billion, seventy-eight million, one hundred fourteen thousand, one hundred".