106173411650680 has 256 divisors, whose sum is σ = 276123764367360. Its totient is φ = 36365610969600.

The previous prime is 106173411650671. The next prime is 106173411650717. The reversal of 106173411650680 is 86056114371601.

It is a super-2 number, since 2×106173411650680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180540715 + ... + 181127845.

It is an arithmetic number, because the mean of its divisors is an integer number (1078608454560).

Almost surely, 2^{106173411650680} is an apocalyptic number.

106173411650680 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 106173411650680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138061882183680).

106173411650680 is an abundant number, since it is smaller than the sum of its proper divisors (169950352716680).

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

106173411650680 is a wasteful number, since it uses less digits than its factorization.

106173411650680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587450 (or 587446 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 106173411650680 in words is "one hundred six trillion, one hundred seventy-three billion, four hundred eleven million, six hundred fifty thousand, six hundred eighty".