106056776635264 has 128 divisors (see below), whose sum is σ = 260074149854400. Its totient is φ = 41951510544384.

The previous prime is 106056776635247. The next prime is 106056776635273. The reversal of 106056776635264 is 462536677650601.

106056776635264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106056776635264² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 106056776635196 and 106056776635205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97640884 + ... + 98721100.

Almost surely, 2^{106056776635264} is an apocalyptic number.

106056776635264 is a gapful number since it is divisible by the number (14) 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 106056776635264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130037074927200).

106056776635264 is an abundant number, since it is smaller than the sum of its proper divisors (154017373219136).

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

106056776635264 is a wasteful number, since it uses less digits than its factorization.

106056776635264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088680 (or 1088668 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 64.

The spelling of 106056776635264 in words is "one hundred six trillion, fifty-six billion, seven hundred seventy-six million, six hundred thirty-five thousand, two hundred sixty-four".