100816525 has 12 divisors (see below), whose sum is σ = 125181472. Its totient is φ = 80544240.

The previous prime is 100816501. The next prime is 100816549. The reversal of 100816525 is 525618001.

It is an interprime number because it is at equal distance from previous prime (100816501) and next prime (100816549).

It is not a de Polignac number, because 100816525 - 2⁹ = 100816013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100816493 and 100816502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19792 + ... + 24358.

Almost surely, 2^100816525 is an apocalyptic number.

It is an amenable number.

100816525 is a deficient number, since it is larger than the sum of its proper divisors (24364947).

100816525 is an equidigital number, since it uses as much as digits as its factorization.

100816525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 100816525 is about 10040.7432493815. The cubic root of 100816525 is about 465.4187848621.

The spelling of 100816525 in words is "one hundred million, eight hundred sixteen thousand, five hundred twenty-five".