105620427360 has 768 divisors, whose sum is σ = 438722887680. Its totient is φ = 23223490560.

The previous prime is 105620427331. The next prime is 105620427371. The reversal of 105620427360 is 63724026501.

105620427360 is a `hidden beast` number, since 1 + 0 + 5 + 620 + 4 + 27 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×105620427360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 287793897 + ... + 287794263.

It is an arithmetic number, because the mean of its divisors is an integer number (571253760).

Almost surely, 2^105620427360 is an apocalyptic number.

105620427360 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 105620427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219361443840).

105620427360 is an abundant number, since it is smaller than the sum of its proper divisors (333102460320).

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

105620427360 is a wasteful number, since it uses less digits than its factorization.

105620427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 105620427360 in words is "one hundred five billion, six hundred twenty million, four hundred twenty-seven thousand, three hundred sixty".