100825417 has 8 divisors (see below), whose sum is σ = 125704512. Its totient is φ = 78565200.

The previous prime is 100825397. The next prime is 100825421. The reversal of 100825417 is 714528001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100825417 - 2⁷ = 100825289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100825217) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 654634 + ... + 654787.

It is an arithmetic number, because the mean of its divisors is an integer number (15713064).

Almost surely, 2^100825417 is an apocalyptic number.

It is an amenable number.

100825417 is a deficient number, since it is larger than the sum of its proper divisors (24879095).

100825417 is a wasteful number, since it uses less digits than its factorization.

100825417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309439.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 100825417 is about 10041.1860355239. The cubic root of 100825417 is about 465.4324677451.

The spelling of 100825417 in words is "one hundred million, eight hundred twenty-five thousand, four hundred seventeen".