100407825 has 72 divisors (see below), whose sum is σ = 211210688. Its totient is φ = 44634240.

The previous prime is 100407823. The next prime is 100407833. The reversal of 100407825 is 528704001.

It is not a de Polignac number, because 100407825 - 2¹ = 100407823 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100407823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57414 + ... + 59136.

Almost surely, 2^100407825 is an apocalyptic number.

100407825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100407825 is an abundant number, since it is smaller than the sum of its proper divisors (110802863).

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

100407825 is a wasteful number, since it uses less digits than its factorization.

100407825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 100407825 is about 10020.3705021321. The cubic root of 100407825 is about 464.7890128495.

The spelling of 100407825 in words is "one hundred million, four hundred seven thousand, eight hundred twenty-five".