106226453776 has 45 divisors (see below), whose sum is σ = 218678228431. Its totient is φ = 49978489856.

The previous prime is 106226453719. The next prime is 106226453777. The reversal of 106226453776 is 677354622601.

The square root of 106226453776 is 325924.

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

106226453776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 44404604176 + 61821849600 = 210724^2 + 248640^2 .

It is a super-2 number, since 2×106226453776² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106226453777) 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 8 ways as a sum of consecutive naturals, for example, 22160436 + ... + 22165228.

Almost surely, 2^106226453776 is an apocalyptic number.

106226453776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106226453776 is the 325924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106226453776

106226453776 is an abundant number, since it is smaller than the sum of its proper divisors (112451774655).

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

106226453776 is an frugal number, since it uses more digits than its factorization.

106226453776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9628 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

Multiplying 106226453776 by its sum of digits (49), we get a square (5205096235024 = 2281468²).

The spelling of 106226453776 in words is "one hundred six billion, two hundred twenty-six million, four hundred fifty-three thousand, seven hundred seventy-six".