107333433234225 has 243 divisors, whose sum is σ = 217305372426051. Its totient is φ = 50604116428800.

The previous prime is 107333433234143. The next prime is 107333433234239. The reversal of 107333433234225 is 522432334333701.

The square root of 107333433234225 is 10360185.

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

107333433234225 is a `hidden beast` number, since 1 + 0 + 7 + 33 + 34 + 332 + 34 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1505138839281 + 105828294394944 = 1226841^2 + 10287288^2 .

It is not a de Polignac number, because 107333433234225 - 2²¹ = 107333431137073 is a prime.

It is a super-2 number, since 2×107333433234225² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 63248928577 + ... + 63248930273.

Almost surely, 2^{107333433234225} is an apocalyptic number.

107333433234225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107333433234225 is the 10360185-th square number.

107333433234225 is the 5180093-rd centered octagonal number.

It is an amenable number.

107333433234225 is an abundant number, since it is smaller than the sum of its proper divisors (109971939191826).

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

107333433234225 is an equidigital number, since it uses as much as digits as its factorization.

107333433234225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 45.

Adding to 107333433234225 its reverse (522432334333701), we get a palindrome (629765767567926).

The spelling of 107333433234225 in words is "one hundred seven trillion, three hundred thirty-three billion, four hundred thirty-three million, two hundred thirty-four thousand, two hundred twenty-five".