100825541 has 4 divisors (see below), whose sum is σ = 100848684. Its totient is φ = 100802400.

The previous prime is 100825523. The next prime is 100825559. The reversal of 100825541 is 145528001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 145528001 = 3221 ⋅45181.

It is an interprime number because it is at equal distance from previous prime (100825523) and next prime (100825559).

It can be written as a sum of positive squares in 2 ways, for example, as 59737441 + 41088100 = 7729^2 + 6410^2 .

It is a cyclic number.

It is not a de Polignac number, because 100825541 - 2¹⁰ = 100824517 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100825541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100825511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2840 + ... + 14481.

It is an arithmetic number, because the mean of its divisors is an integer number (25212171).

Almost surely, 2^100825541 is an apocalyptic number.

It is an amenable number.

100825541 is a deficient number, since it is larger than the sum of its proper divisors (23143).

100825541 is an equidigital number, since it uses as much as digits as its factorization.

100825541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23142.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 100825541 is about 10041.1922100914. The cubic root of 100825541 is about 465.4326585489.

The spelling of 100825541 in words is "one hundred million, eight hundred twenty-five thousand, five hundred forty-one".