106510325907456 has 171 divisors, whose sum is σ = 307741711893811. Its totient is φ = 35498157932544.

The previous prime is 106510325907341. The next prime is 106510325907487. The reversal of 106510325907456 is 654709523015601.

The square root of 106510325907456 is 10320384.

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

106510325907456 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 1 + 0 + 3 + 2 + 590 + 7 + 45 + 6 = 666.

It is a super-2 number, since 2×106510325907456² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15852106465 + ... + 15852113183.

Almost surely, 2^{106510325907456} is an apocalyptic number.

106510325907456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106510325907456 is the 10320384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106510325907456

106510325907456 is an abundant number, since it is smaller than the sum of its proper divisors (201231385986355).

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

106510325907456 is an frugal number, since it uses more digits than its factorization.

106510325907456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13480 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 106510325907456 in words is "one hundred six trillion, five hundred ten billion, three hundred twenty-five million, nine hundred seven thousand, four hundred fifty-six".