106209088634880 has 3000 divisors, whose sum is σ = 499877806911120. Its totient is φ = 21308406497280.

The previous prime is 106209088634849. The next prime is 106209088634897. The reversal of 106209088634880 is 88436880902601.

106209088634880 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 0 + 90 + 8 + 8 + 63 + 488 + 0 = 666.

It is a super-2 number, since 2×106209088634880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3662382366706 + ... + 3662382366734.

Almost surely, 2^{106209088634880} is an apocalyptic number.

106209088634880 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 106209088634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249938903455560).

106209088634880 is an abundant number, since it is smaller than the sum of its proper divisors (393668718276240).

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

106209088634880 is an frugal number, since it uses more digits than its factorization.

106209088634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 106209088634880 in words is "one hundred six trillion, two hundred nine billion, eighty-eight million, six hundred thirty-four thousand, eight hundred eighty".