106296857280 has 560 divisors, whose sum is σ = 392576937984. Its totient is φ = 27272816640.

The previous prime is 106296857257. The next prime is 106296857297. The reversal of 106296857280 is 82758692601.

106296857280 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 9 + 68 + 572 + 8 + 0 = 666.

It is a super-2 number, since 2×106296857280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 211325509 + ... + 211326011.

Almost surely, 2^106296857280 is an apocalyptic number.

106296857280 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 106296857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196288468992).

106296857280 is an abundant number, since it is smaller than the sum of its proper divisors (286280080704).

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

106296857280 is a wasteful number, since it uses less digits than its factorization.

106296857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 106296857280 in words is "one hundred six billion, two hundred ninety-six million, eight hundred fifty-seven thousand, two hundred eighty".