100211985 has 56 divisors (see below), whose sum is σ = 189919680. Its totient is φ = 50598432.

The previous prime is 100211981. The next prime is 100212043. The reversal of 100211985 is 589112001.

It is not a de Polignac number, because 100211985 - 2² = 100211981 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100211981) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 68532 + ... + 69978.

Almost surely, 2^100211985 is an apocalyptic number.

100211985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100211985 is a deficient number, since it is larger than the sum of its proper divisors (89707695).

100211985 is an equidigital number, since it uses as much as digits as its factorization.

100211985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 100211985 is about 10010.5936387409. The cubic root of 100211985 is about 464.4866342790.

Adding to 100211985 its reverse (589112001), we get a palindrome (689323986).

The spelling of 100211985 in words is "one hundred million, two hundred eleven thousand, nine hundred eighty-five".