114340236100 has 72 divisors (see below), whose sum is σ = 252342309128. Its totient is φ = 44958412800.

The previous prime is 114340236061. The next prime is 114340236113. The reversal of 114340236100 is 1632043411.

It can be written as a sum of positive squares in 12 ways, for example, as 76333953796 + 38006282304 = 276286^2 + 194952^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11786452 + ... + 11796148.

Almost surely, 2^114340236100 is an apocalyptic number.

114340236100 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 114340236100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126171154564).

114340236100 is an abundant number, since it is smaller than the sum of its proper divisors (138002073028).

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

114340236100 is a wasteful number, since it uses less digits than its factorization.

114340236100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11705 (or 11698 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 114340236100 its reverse (1632043411), we get a palindrome (115972279511).

The spelling of 114340236100 in words is "one hundred fourteen billion, three hundred forty million, two hundred thirty-six thousand, one hundred".