114521328100 has 81 divisors (see below), whose sum is σ = 254748712617. Its totient is φ = 44686363680.

The previous prime is 114521328083. The next prime is 114521328113. The reversal of 114521328100 is 1823125411.

The square root of 114521328100 is 338410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41227678116 + 73293649984 = 203046^2 + 270728^2 .

It is a super-2 number, since 2×114521328100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 145515907 + ... + 145516693.

Almost surely, 2^114521328100 is an apocalyptic number.

114521328100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114521328100 is the 338410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114521328100

114521328100 is an abundant number, since it is smaller than the sum of its proper divisors (140227384517).

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

114521328100 is an frugal number, since it uses more digits than its factorization.

114521328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 114521328100 in words is "one hundred fourteen billion, five hundred twenty-one million, three hundred twenty-eight thousand, one hundred".