100145258825 has 12 divisors (see below), whose sum is σ = 124184134668. Its totient is φ = 80113617600.

The previous prime is 100145258821. The next prime is 100145258839. The reversal of 100145258825 is 528852541001.

It can be written as a sum of positive squares in 6 ways, for example, as 3929283856 + 96215974969 = 62684^2 + 310187^2 .

It is not a de Polignac number, because 100145258825 - 2² = 100145258821 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100145258821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1239155 + ... + 1317495.

It is an arithmetic number, because the mean of its divisors is an integer number (10348677889).

Almost surely, 2^100145258825 is an apocalyptic number.

It is an amenable number.

100145258825 is a deficient number, since it is larger than the sum of its proper divisors (24038875843).

100145258825 is an equidigital number, since it uses as much as digits as its factorization.

100145258825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129484 (or 129479 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 41.

Adding to 100145258825 its reverse (528852541001), we get a palindrome (628997799826).

The spelling of 100145258825 in words is "one hundred billion, one hundred forty-five million, two hundred fifty-eight thousand, eight hundred twenty-five".