100233035606025 has 405 divisors, whose sum is σ = 222232831760709. Its totient is φ = 44530515469440.

The previous prime is 100233035605987. The next prime is 100233035606047. The reversal of 100233035606025 is 520606530332001.

The square root of 100233035606025 is 10011645.

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

100233035606025 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 30 + 3 + 560 + 60 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9515182839561 + 90717852766464 = 3084669^2 + 9524592^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 100233035606025 - 2⁷ = 100233035605897 is a prime.

It is a super-2 number, since 2×100233035606025² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 116685722046 + ... + 116685722904.

Almost surely, 2^{100233035606025} is an apocalyptic number.

100233035606025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100233035606025 is the 10011645-th square number.

100233035606025 is the 5005823-rd centered octagonal number.

It is an amenable number.

100233035606025 is an abundant number, since it is smaller than the sum of its proper divisors (121999796154684).

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

100233035606025 is an frugal number, since it uses more digits than its factorization.

100233035606025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 100233035606025 its reverse (520606530332001), we get a palindrome (620839565938026).

The spelling of 100233035606025 in words is "one hundred trillion, two hundred thirty-three billion, thirty-five million, six hundred six thousand, twenty-five".