105939336222720 has 9216 divisors, whose sum is σ = 569194988544000. Its totient is φ = 18087684341760.

The previous prime is 105939336222701. The next prime is 105939336222749. The reversal of 105939336222720 is 27222633939501.

105939336222720 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 3 + 9 + 3 + 3 + 622 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a super-2 number, since 2×105939336222720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1190329620436 + ... + 1190329620524.

It is an arithmetic number, because the mean of its divisors is an integer number (61761609000).

Almost surely, 2^{105939336222720} is an apocalyptic number.

105939336222720 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 105939336222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284597494272000).

105939336222720 is an abundant number, since it is smaller than the sum of its proper divisors (463255652321280).

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

105939336222720 is a wasteful number, since it uses less digits than its factorization.

105939336222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 105939336222720 in words is "one hundred five trillion, nine hundred thirty-nine billion, three hundred thirty-six million, two hundred twenty-two thousand, seven hundred twenty".