100381785 has 32 divisors (see below), whose sum is σ = 184135680. Its totient is φ = 45743808.

The previous prime is 100381741. The next prime is 100381793. The reversal of 100381785 is 587183001.

It is not a de Polignac number, because 100381785 - 2¹⁴ = 100365401 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 36364 + ... + 39026.

It is an arithmetic number, because the mean of its divisors is an integer number (5754240).

Almost surely, 2^100381785 is an apocalyptic number.

100381785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100381785 is a deficient number, since it is larger than the sum of its proper divisors (83753895).

100381785 is a wasteful number, since it uses less digits than its factorization.

100381785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037.

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 100381785 is about 10019.0710647245. The cubic root of 100381785 is about 464.7488295526.

The spelling of 100381785 in words is "one hundred million, three hundred eighty-one thousand, seven hundred eighty-five".