106323210510000 has 400 divisors, whose sum is σ = 376309597382400. Its totient is φ = 25645783680000.

The previous prime is 106323210509917. The next prime is 106323210510017. The reversal of 106323210510000 is 15012323601.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×106323210510000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64860474 + ... + 66479526.

It is an arithmetic number, because the mean of its divisors is an integer number (940773993456).

Almost surely, 2^{106323210510000} is an apocalyptic number.

106323210510000 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 106323210510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188154798691200).

106323210510000 is an abundant number, since it is smaller than the sum of its proper divisors (269986386872400).

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

106323210510000 is a wasteful number, since it uses less digits than its factorization.

106323210510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619294 (or 1619273 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 106323210510000 its reverse (15012323601), we get a palindrome (106338222833601).

The spelling of 106323210510000 in words is "one hundred six trillion, three hundred twenty-three billion, two hundred ten million, five hundred ten thousand".