234252114100 has 36 divisors (see below), whose sum is σ = 508358923884. Its totient is φ = 93694977280.

The previous prime is 234252114097. The next prime is 234252114101. The reversal of 234252114100 is 1411252432.

It can be written as a sum of positive squares in 6 ways, for example, as 2787206436 + 231464907664 = 52794^2 + 481108^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234252114101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1759062 + ... + 1887538.

It is an arithmetic number, because the mean of its divisors is an integer number (14121081219).

Almost surely, 2^234252114100 is an apocalyptic number.

234252114100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234252114100 is an abundant number, since it is smaller than the sum of its proper divisors (274106809784).

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

234252114100 is a wasteful number, since it uses less digits than its factorization.

234252114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146724 (or 146717 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 234252114100 its reverse (1411252432), we get a palindrome (235663366532).

The spelling of 234252114100 in words is "two hundred thirty-four billion, two hundred fifty-two million, one hundred fourteen thousand, one hundred".