114680367100 has 72 divisors (see below), whose sum is σ = 268550985248. Its totient is φ = 42256339200.

The previous prime is 114680367073. The next prime is 114680367107. The reversal of 114680367100 is 1763086411.

It is a self number, because there is not a number n which added to its sum of digits gives 114680367100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114680367107) 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, 542530 + ... + 723670.

Almost surely, 2^114680367100 is an apocalyptic number.

114680367100 is a gapful number since it is divisible by the number (10) 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 114680367100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134275492624).

114680367100 is an abundant number, since it is smaller than the sum of its proper divisors (153870618148).

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

114680367100 is a wasteful number, since it uses less digits than its factorization.

114680367100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181655 (or 181648 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 114680367100 in words is "one hundred fourteen billion, six hundred eighty million, three hundred sixty-seven thousand, one hundred".