105958303693440 has 512 divisors, whose sum is σ = 384545470464000. Its totient is φ = 24564918681600.

The previous prime is 105958303693439. The next prime is 105958303693499. The reversal of 105958303693440 is 44396303859501.

It is a super-2 number, since 2×105958303693440² (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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2646886225 + ... + 2646926255.

It is an arithmetic number, because the mean of its divisors is an integer number (751065372000).

Almost surely, 2^{105958303693440} is an apocalyptic number.

105958303693440 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 105958303693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192272735232000).

105958303693440 is an abundant number, since it is smaller than the sum of its proper divisors (278587166770560).

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

105958303693440 is a wasteful number, since it uses less digits than its factorization.

105958303693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45536 (or 45524 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 60.

The spelling of 105958303693440 in words is "one hundred five trillion, nine hundred fifty-eight billion, three hundred three million, six hundred ninety-three thousand, four hundred forty".