100681335 has 24 divisors (see below), whose sum is σ = 180146304. Its totient is φ = 51963840.

The previous prime is 100681333. The next prime is 100681349. The reversal of 100681335 is 533186001.

It is not a de Polignac number, because 100681335 - 2¹ = 100681333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100681299 and 100681308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100681333) 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 23 ways as a sum of consecutive naturals, for example, 34692 + ... + 37481.

It is an arithmetic number, because the mean of its divisors is an integer number (7506096).

Almost surely, 2^100681335 is an apocalyptic number.

100681335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100681335 is a deficient number, since it is larger than the sum of its proper divisors (79464969).

100681335 is a wasteful number, since it uses less digits than its factorization.

100681335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72215 (or 72212 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 100681335 is about 10034.0089196691. The cubic root of 100681335 is about 465.2106572405.

The spelling of 100681335 in words is "one hundred million, six hundred eighty-one thousand, three hundred thirty-five".