106455098373264 has 675 divisors, whose sum is σ = 342618975951483. Its totient is φ = 31902022969344.

The previous prime is 106455098373257. The next prime is 106455098373289. The reversal of 106455098373264 is 462373890554601.

The square root of 106455098373264 is 10317708.

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

106455098373264 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 509 + 8 + 37 + 32 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68709311435664 + 37745786937600 = 8289108^2 + 6143760^2 .

It is a super-3 number, since 3×106455098373264³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 145232057442 + ... + 145232058174.

It is a 1-persistent number, because it is pandigital, but 2⋅106455098373264 = 212910196746528 is not.

Almost surely, 2^{106455098373264} is an apocalyptic number.

106455098373264 is the 10317708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106455098373264

106455098373264 is an abundant number, since it is smaller than the sum of its proper divisors (236163877578219).

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

106455098373264 is an frugal number, since it uses more digits than its factorization.

106455098373264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 106455098373264 in words is "one hundred six trillion, four hundred fifty-five billion, ninety-eight million, three hundred seventy-three thousand, two hundred sixty-four".