106203979154880 has 896 divisors, whose sum is σ = 385253029969920. Its totient is φ = 27878938214400.

The previous prime is 106203979154869. The next prime is 106203979154881. The reversal of 106203979154880 is 88451979302601.

106203979154880 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 0 + 3 + 9 + 7 + 9 + 1 + 548 + 80 = 666.

It is a super-2 number, since 2×106203979154880² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106203979154881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12965931585 + ... + 12965939775.

It is an arithmetic number, because the mean of its divisors is an integer number (429969899520).

It is a 2-persistent number, because it is pandigital, and so is 2⋅106203979154880 = 212407958309760, but 3⋅106203979154880 = 318611937464640 is not.

Almost surely, 2^{106203979154880} is an apocalyptic number.

106203979154880 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 106203979154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192626514984960).

106203979154880 is an abundant number, since it is smaller than the sum of its proper divisors (279049050815040).

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

106203979154880 is an frugal number, since it uses more digits than its factorization.

106203979154880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8517 (or 8489 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 106203979154880 in words is "one hundred six trillion, two hundred three billion, nine hundred seventy-nine million, one hundred fifty-four thousand, eight hundred eighty".