106123953246304 has 192 divisors, whose sum is σ = 245184249203712. Its totient is φ = 44277410764800.

The previous prime is 106123953246301. The next prime is 106123953246317. The reversal of 106123953246304 is 403642359321601.

It is a super-2 number, since 2×106123953246304² (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 (106123953246301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2683876774 + ... + 2683916314.

It is an arithmetic number, because the mean of its divisors is an integer number (1277001297936).

Almost surely, 2^{106123953246304} is an apocalyptic number.

106123953246304 is a gapful number since it is divisible by the number (14) 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 106123953246304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122592124601856).

106123953246304 is an abundant number, since it is smaller than the sum of its proper divisors (139060295957408).

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

106123953246304 is a wasteful number, since it uses less digits than its factorization.

106123953246304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41629 (or 41621 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 49.

The spelling of 106123953246304 in words is "one hundred six trillion, one hundred twenty-three billion, nine hundred fifty-three million, two hundred forty-six thousand, three hundred four".