106943809380496 has 135 divisors (see below), whose sum is σ = 230219937821433. Its totient is φ = 48089824527360.

The previous prime is 106943809380491. The next prime is 106943809380503. The reversal of 106943809380496 is 694083908349601.

The square root of 106943809380496 is 10341364.

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., 48021850848400 + 58921958532096 = 6929780^2 + 7676064^2 .

It is a super-2 number, since 2×106943809380496² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106943809380491) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 44136940341 + ... + 44136942763.

Almost surely, 2^{106943809380496} is an apocalyptic number.

106943809380496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106943809380496 is the 10341364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106943809380496

106943809380496 is an abundant number, since it is smaller than the sum of its proper divisors (123276128440937).

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

106943809380496 is an frugal number, since it uses more digits than its factorization.

106943809380496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 70.

The spelling of 106943809380496 in words is "one hundred six trillion, nine hundred forty-three billion, eight hundred nine million, three hundred eighty thousand, four hundred ninety-six".