100106109493 has 8 divisors (see below), whose sum is σ = 108467971808. Its totient is φ = 91838731824.

The previous prime is 100106109487. The next prime is 100106109503. The reversal of 100106109493 is 394901601001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100106109493 - 2¹⁷ = 100105978421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106101493) 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 7 ways as a sum of consecutive naturals, for example, 23618955 + ... + 23623192.

It is an arithmetic number, because the mean of its divisors is an integer number (13558496476).

Almost surely, 2^100106109493 is an apocalyptic number.

100106109493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100106109493 is a deficient number, since it is larger than the sum of its proper divisors (8361862315).

100106109493 is a wasteful number, since it uses less digits than its factorization.

100106109493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47242323.

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 100106109493 in words is "one hundred billion, one hundred six million, one hundred nine thousand, four hundred ninety-three".