102946005904 has 75 divisors (see below), whose sum is σ = 232829251217. Its totient is φ = 44092765248.

The previous prime is 102946005893. The next prime is 102946005949. The reversal of 102946005904 is 409500649201.

The square root of 102946005904 is 320852.

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., 3120339600 + 99825666304 = 55860^2 + 315952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 62886174 + ... + 62887810.

Almost surely, 2^102946005904 is an apocalyptic number.

102946005904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102946005904 is the 320852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102946005904

102946005904 is an abundant number, since it is smaller than the sum of its proper divisors (129883245313).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102946005904 is an frugal number, since it uses more digits than its factorization.

102946005904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 102946005904 in words is "one hundred two billion, nine hundred forty-six million, five thousand, nine hundred four".