100385733 has 16 divisors (see below), whose sum is σ = 158244480. Its totient is φ = 55384896.

The previous prime is 100385723. The next prime is 100385743. The reversal of 100385733 is 337583001.

It is an interprime number because it is at equal distance from previous prime (100385723) and next prime (100385743).

It is not a de Polignac number, because 100385733 - 2¹⁶ = 100320197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100385733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100385713) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81810 + ... + 83027.

It is an arithmetic number, because the mean of its divisors is an integer number (9890280).

Almost surely, 2^100385733 is an apocalyptic number.

It is an amenable number.

100385733 is a deficient number, since it is larger than the sum of its proper divisors (57858747).

100385733 is a wasteful number, since it uses less digits than its factorization.

100385733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164876.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 100385733 is about 10019.2680870411. The cubic root of 100385733 is about 464.7549223058.

It can be divided in two parts, 1003 and 85733, that added together give a triangular number (86736 = T₄₁₆).

The spelling of 100385733 in words is "one hundred million, three hundred eighty-five thousand, seven hundred thirty-three".