106376566464 has 1176 divisors, whose sum is σ = 405106022400. Its totient is φ = 27512110080.

The previous prime is 106376566463. The next prime is 106376566481. The reversal of 106376566464 is 464665673601.

106376566464 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 76 + 566 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×106376566464² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 106376566464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106376566463) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1346538777 + ... + 1346538855.

Almost surely, 2^106376566464 is an apocalyptic number.

106376566464 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 106376566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202553011200).

106376566464 is an abundant number, since it is smaller than the sum of its proper divisors (298729455936).

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

106376566464 is an equidigital number, since it uses as much as digits as its factorization.

106376566464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 106376566464 in words is "one hundred six billion, three hundred seventy-six million, five hundred sixty-six thousand, four hundred sixty-four".