106534169280 has 1512 divisors, whose sum is σ = 497445084864. Its totient is φ = 20778024960.

The previous prime is 106534169239. The next prime is 106534169299. The reversal of 106534169280 is 82961435601.

106534169280 is a `hidden beast` number, since 10 + 6 + 534 + 16 + 92 + 8 + 0 = 666.

It is a super-2 number, since 2×106534169280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 290283657 + ... + 290284023.

It is an arithmetic number, because the mean of its divisors is an integer number (328998072).

Almost surely, 2^106534169280 is an apocalyptic number.

106534169280 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 106534169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248722542432).

106534169280 is an abundant number, since it is smaller than the sum of its proper divisors (390910915584).

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

106534169280 is a wasteful number, since it uses less digits than its factorization.

106534169280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 106534169280 in words is "one hundred six billion, five hundred thirty-four million, one hundred sixty-nine thousand, two hundred eighty".