106589098343856 has 80 divisors (see below), whose sum is σ = 282227107737600. Its totient is φ = 34652481341184.

The previous prime is 106589098343813. The next prime is 106589098343873. The reversal of 106589098343856 is 658343890985601.

It is a super-2 number, since 2×106589098343856² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147819051 + ... + 148538378.

It is an arithmetic number, because the mean of its divisors is an integer number (3527838846720).

Almost surely, 2^{106589098343856} is an apocalyptic number.

106589098343856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106589098343856 is an abundant number, since it is smaller than the sum of its proper divisors (175638009393744).

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

106589098343856 is a wasteful number, since it uses less digits than its factorization.

106589098343856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296357626 (or 296357620 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 75.

The spelling of 106589098343856 in words is "one hundred six trillion, five hundred eighty-nine billion, ninety-eight million, three hundred forty-three thousand, eight hundred fifty-six".