105458456160 has 144 divisors (see below), whose sum is σ = 360108023184. Its totient is φ = 28104201216.

The previous prime is 105458456099. The next prime is 105458456167. The reversal of 105458456160 is 61654854501.

105458456160 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 84 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105458456160² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105458456167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2300019 + ... + 2345421.

It is an arithmetic number, because the mean of its divisors is an integer number (2500750161).

Almost surely, 2^105458456160 is an apocalyptic number.

105458456160 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 105458456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180054011592).

105458456160 is an abundant number, since it is smaller than the sum of its proper divisors (254649567024).

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

105458456160 is a wasteful number, since it uses less digits than its factorization.

105458456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47037 (or 47026 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 105458456160 in words is "one hundred five billion, four hundred fifty-eight million, four hundred fifty-six thousand, one hundred sixty".