106009283186880 has 224 divisors, whose sum is σ = 341115274080000. Its totient is φ = 27889143779328.

The previous prime is 106009283186843. The next prime is 106009283186893. The reversal of 106009283186880 is 88681382900601.

It is a super-2 number, since 2×106009283186880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55554871 + ... + 57431369.

It is an arithmetic number, because the mean of its divisors is an integer number (1522836045000).

Almost surely, 2^{106009283186880} is an apocalyptic number.

106009283186880 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 106009283186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170557637040000).

106009283186880 is an abundant number, since it is smaller than the sum of its proper divisors (235105990893120).

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

106009283186880 is a wasteful number, since it uses less digits than its factorization.

106009283186880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877311 (or 1877301 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 60.

The spelling of 106009283186880 in words is "one hundred six trillion, nine billion, two hundred eighty-three million, one hundred eighty-six thousand, eight hundred eighty".