100123525 has 12 divisors (see below), whose sum is σ = 124305412. Its totient is φ = 80000640.

The previous prime is 100123501. The next prime is 100123567. The reversal of 100123525 is 525321001.

It can be written as a sum of positive squares in 6 ways, for example, as 83521 + 100040004 = 289^2 + 10002^2 .

It is not a de Polignac number, because 100123525 - 2¹⁹ = 99599237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23887 + ... + 27763.

Almost surely, 2^100123525 is an apocalyptic number.

It is an amenable number.

100123525 is a deficient number, since it is larger than the sum of its proper divisors (24181887).

100123525 is a wasteful number, since it uses less digits than its factorization.

100123525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4920 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 100123525 is about 10006.1743438739. The cubic root of 100123525 is about 464.3499221429.

Adding to 100123525 its reverse (525321001), we get a palindrome (625444526).

The spelling of 100123525 in words is "one hundred million, one hundred twenty-three thousand, five hundred twenty-five".