106796513264448 has 448 divisors, whose sum is σ = 328260412108800. Its totient is φ = 30014337024000.

The previous prime is 106796513264429. The next prime is 106796513264453. The reversal of 106796513264448 is 844462315697601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×106796513264448² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38962608358 + ... + 38962611098.

It is a 1-persistent number, because it is pandigital, but 2⋅106796513264448 = 213593026528896 is not.

Almost surely, 2^{106796513264448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106796513264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164130206054400).

106796513264448 is an abundant number, since it is smaller than the sum of its proper divisors (221463898844352).

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

106796513264448 is a wasteful number, since it uses less digits than its factorization.

106796513264448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 106796513264448 in words is "one hundred six trillion, seven hundred ninety-six billion, five hundred thirteen million, two hundred sixty-four thousand, four hundred forty-eight".