105112911620480 has 64 divisors (see below), whose sum is σ = 253590926569200. Its totient is φ = 41659429165056.

The previous prime is 105112911620429. The next prime is 105112911620489. The reversal of 105112911620480 is 84026119211501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105112911620480² (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 (105112911620489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 753319802 + ... + 753459321.

Almost surely, 2^{105112911620480} is an apocalyptic number.

105112911620480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105112911620480 is an abundant number, since it is smaller than the sum of its proper divisors (148478014948720).

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

105112911620480 is a wasteful number, since it uses less digits than its factorization.

105112911620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506779251 (or 1506779239 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 41.

The spelling of 105112911620480 in words is "one hundred five trillion, one hundred twelve billion, nine hundred eleven million, six hundred twenty thousand, four hundred eighty".