385217100 has 72 divisors (see below), whose sum is σ = 1238410320. Its totient is φ = 102723840.

The previous prime is 385217089. The next prime is 385217111. The reversal of 385217100 is 1712583.

385217100 is a `hidden beast` number, since 38 + 521 + 7 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (385217089) and next prime (385217111).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68637 + ... + 74036.

Almost surely, 2^385217100 is an apocalyptic number.

385217100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385217100 is an abundant number, since it is smaller than the sum of its proper divisors (853193220).

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

385217100 is a wasteful number, since it uses less digits than its factorization.

385217100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142696 (or 142683 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 385217100 is about 19626.9483109321. The cubic root of 385217100 is about 727.6153499740.

Adding to 385217100 its reverse (1712583), we get a palindrome (386929683).

The spelling of 385217100 in words is "three hundred eighty-five million, two hundred seventeen thousand, one hundred".