105670863360 has 480 divisors, whose sum is σ = 389864547072. Its totient is φ = 27411333120.

The previous prime is 105670863343. The next prime is 105670863373. The reversal of 105670863360 is 63368076501.

105670863360 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 7 + 0 + 8 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×105670863360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23014665 + ... + 23019255.

Almost surely, 2^105670863360 is an apocalyptic number.

105670863360 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 105670863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194932273536).

105670863360 is an abundant number, since it is smaller than the sum of its proper divisors (284193683712).

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

105670863360 is an frugal number, since it uses more digits than its factorization.

105670863360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 105670863360 in words is "one hundred five billion, six hundred seventy million, eight hundred sixty-three thousand, three hundred sixty".