106739297280 has 1056 divisors, whose sum is σ = 469034841600. Its totient is φ = 21799895040.

The previous prime is 106739297243. The next prime is 106739297339. The reversal of 106739297280 is 82792937601.

106739297280 is a `hidden beast` number, since 1 + 0 + 6 + 73 + 9 + 297 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×106739297280² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237726496 + ... + 237726944.

Almost surely, 2^106739297280 is an apocalyptic number.

106739297280 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 106739297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234517420800).

106739297280 is an abundant number, since it is smaller than the sum of its proper divisors (362295544320).

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

106739297280 is a wasteful number, since it uses less digits than its factorization.

106739297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 106739297280 in words is "one hundred six billion, seven hundred thirty-nine million, two hundred ninety-seven thousand, two hundred eighty".