106643453456 has 80 divisors (see below), whose sum is σ = 218530656000. Its totient is φ = 50333144064.

The previous prime is 106643453393. The next prime is 106643453461. The reversal of 106643453456 is 654354346601.

It is a super-2 number, since 2×106643453456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 106643453456.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26014895 + ... + 26018993.

It is an arithmetic number, because the mean of its divisors is an integer number (2731633200).

Almost surely, 2^106643453456 is an apocalyptic number.

106643453456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106643453456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109265328000).

106643453456 is an abundant number, since it is smaller than the sum of its proper divisors (111887202544).

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

106643453456 is a wasteful number, since it uses less digits than its factorization.

106643453456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 47.

The spelling of 106643453456 in words is "one hundred six billion, six hundred forty-three million, four hundred fifty-three thousand, four hundred fifty-six".