105651423360 has 768 divisors, whose sum is σ = 436910423040. Its totient is φ = 23896829952.

The previous prime is 105651423359. The next prime is 105651423391. The reversal of 105651423360 is 63324156501.

105651423360 is a `hidden beast` number, since 1 + 0 + 56 + 514 + 2 + 33 + 60 = 666.

It is a super-2 number, since 2×105651423360² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116484027 + ... + 116484933.

It is an arithmetic number, because the mean of its divisors is an integer number (568893780).

Almost surely, 2^105651423360 is an apocalyptic number.

105651423360 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 105651423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218455211520).

105651423360 is an abundant number, since it is smaller than the sum of its proper divisors (331258999680).

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

105651423360 is an equidigital number, since it uses as much as digits as its factorization.

105651423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 105651423360 its reverse (63324156501), we get a palindrome (168975579861).

The spelling of 105651423360 in words is "one hundred five billion, six hundred fifty-one million, four hundred twenty-three thousand, three hundred sixty".