106103941696 has 63 divisors (see below), whose sum is σ = 222318571491. Its totient is φ = 50236308864.

The previous prime is 106103941637. The next prime is 106103941709. The reversal of 106103941696 is 696149301601.

The square root of 106103941696 is 325736.

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

It is a super-3 number, since 3×106103941696³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49510801 + ... + 49512943.

Almost surely, 2^106103941696 is an apocalyptic number.

106103941696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106103941696 is the 325736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106103941696

106103941696 is an abundant number, since it is smaller than the sum of its proper divisors (116214629795).

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

106103941696 is an frugal number, since it uses more digits than its factorization.

106103941696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The spelling of 106103941696 in words is "one hundred six billion, one hundred three million, nine hundred forty-one thousand, six hundred ninety-six".