100417285 has 16 divisors (see below), whose sum is σ = 126710640. Its totient is φ = 76285440.

The previous prime is 100417279. The next prime is 100417307. The reversal of 100417285 is 582714001.

It can be written as a sum of positive squares in 8 ways, for example, as 21242881 + 79174404 = 4609^2 + 8898^2 .

It is not a de Polignac number, because 100417285 - 2⁷ = 100417157 is a prime.

It is a super-2 number, since 2×100417285² = 20167262253542450, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3169 + ... + 14521.

It is an arithmetic number, because the mean of its divisors is an integer number (7919415).

Almost surely, 2^100417285 is an apocalyptic number.

It is an amenable number.

100417285 is a deficient number, since it is larger than the sum of its proper divisors (26293355).

100417285 is a wasteful number, since it uses less digits than its factorization.

100417285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11448.

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

The square root of 100417285 is about 10020.8425294483. The cubic root of 100417285 is about 464.8036092085.

The spelling of 100417285 in words is "one hundred million, four hundred seventeen thousand, two hundred eighty-five".