106589692980 has 288 divisors, whose sum is σ = 351902154240. Its totient is φ = 26015109120.

The previous prime is 106589692973. The next prime is 106589693003. The reversal of 106589692980 is 89296985601.

It is a super-2 number, since 2×106589692980² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16193290 + ... + 16199870.

It is an arithmetic number, because the mean of its divisors is an integer number (1221882480).

Almost surely, 2^106589692980 is an apocalyptic number.

106589692980 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 106589692980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175951077120).

106589692980 is an abundant number, since it is smaller than the sum of its proper divisors (245312461260).

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

106589692980 is a wasteful number, since it uses less digits than its factorization.

106589692980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 106589692980 in words is "one hundred six billion, five hundred eighty-nine million, six hundred ninety-two thousand, nine hundred eighty".