106780053519360 has 2112 divisors, whose sum is σ = 413688730291200. Its totient is φ = 25305629589504.

The previous prime is 106780053519341. The next prime is 106780053519571. The reversal of 106780053519360 is 63915350087601.

106780053519360 is a `hidden beast` number, since 1 + 0 + 6 + 78 + 0 + 0 + 53 + 519 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×106780053519360² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106780053519297 and 106780053519306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 596536611751 + ... + 596536611929.

Almost surely, 2^{106780053519360} is an apocalyptic number.

106780053519360 is a gapful number since it is divisible by the number (10) 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 106780053519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206844365145600).

106780053519360 is an abundant number, since it is smaller than the sum of its proper divisors (306908676771840).

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

106780053519360 is a wasteful number, since it uses less digits than its factorization.

106780053519360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 106780053519360 in words is "one hundred six trillion, seven hundred eighty billion, fifty-three million, five hundred nineteen thousand, three hundred sixty".