106348361857920 has 3072 divisors, whose sum is σ = 483048603648000. Its totient is φ = 21637727354880.

The previous prime is 106348361857841. The next prime is 106348361857939. The reversal of 106348361857920 is 29758163843601.

106348361857920 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 4 + 8 + 3 + 618 + 5 + 7 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×106348361857920² (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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68215754101 + ... + 68215755659.

It is an arithmetic number, because the mean of its divisors is an integer number (157242384000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅106348361857920 = 212696723715840, but 3⋅106348361857920 = 319045085573760 is not.

Almost surely, 2^{106348361857920} is an apocalyptic number.

106348361857920 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 106348361857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241524301824000).

106348361857920 is an abundant number, since it is smaller than the sum of its proper divisors (376700241790080).

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

106348361857920 is a wasteful number, since it uses less digits than its factorization.

106348361857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 106348361857920 in words is "one hundred six trillion, three hundred forty-eight billion, three hundred sixty-one million, eight hundred fifty-seven thousand, nine hundred twenty".