105105961002720 has 384 divisors, whose sum is σ = 336259123200000. Its totient is φ = 27593596864512.

The previous prime is 105105961002689. The next prime is 105105961002727. The reversal of 105105961002720 is 27200169501501.

It is a super-2 number, since 2×105105961002720² (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 (105105961002727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21025394781 + ... + 21025399779.

It is an arithmetic number, because the mean of its divisors is an integer number (875674800000).

Almost surely, 2^{105105961002720} is an apocalyptic number.

105105961002720 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 105105961002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168129561600000).

105105961002720 is an abundant number, since it is smaller than the sum of its proper divisors (231153162197280).

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

105105961002720 is a wasteful number, since it uses less digits than its factorization.

105105961002720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 39.

The spelling of 105105961002720 in words is "one hundred five trillion, one hundred five billion, nine hundred sixty-one million, two thousand, seven hundred twenty".