105620491468800 has 5280 divisors, whose sum is σ = 543726623911680. Its totient is φ = 19568944742400.

The previous prime is 105620491468769. The next prime is 105620491468831. The reversal of 105620491468800 is 8864194026501.

105620491468800 is a `hidden beast` number, since 1 + 0 + 5 + 62 + 0 + 49 + 1 + 468 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105620491468769) and next prime (105620491468831).

It is a tau number, because it is divible by the number of its divisors (5280).

It is a super-2 number, since 2×105620491468800² (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 239 ways as a sum of consecutive naturals, for example, 5558973235191 + ... + 5558973235209.

It is an arithmetic number, because the mean of its divisors is an integer number (102978527256).

Almost surely, 2^{105620491468800} is an apocalyptic number.

105620491468800 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 105620491468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271863311955840).

105620491468800 is an abundant number, since it is smaller than the sum of its proper divisors (438106132442880).

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

105620491468800 is an frugal number, since it uses more digits than its factorization.

105620491468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 105620491468800 in words is "one hundred five trillion, six hundred twenty billion, four hundred ninety-one million, four hundred sixty-eight thousand, eight hundred".