102046385809 has 81 divisors (see below), whose sum is σ = 122444447643. Its totient is φ = 85008680064.

The previous prime is 102046385747. The next prime is 102046385827. The reversal of 102046385809 is 908583640201.

The square root of 102046385809 is 319447.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79447878225 + 22598507584 = 281865^2 + 150328^2 .

It is not a de Polignac number, because 102046385809 - 2¹³ = 102046377617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102046385009) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2373171742 + ... + 2373171784.

Almost surely, 2^102046385809 is an apocalyptic number.

102046385809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

102046385809 is the 319447-th square number.

102046385809 is the 159724-th centered octagonal number.

It is an amenable number.

102046385809 is a deficient number, since it is larger than the sum of its proper divisors (20398061834).

102046385809 is an equidigital number, since it uses as much as digits as its factorization.

102046385809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 102046385809 in words is "one hundred two billion, forty-six million, three hundred eighty-five thousand, eight hundred nine".