105465753340 has 24 divisors (see below), whose sum is σ = 222591045600. Its totient is φ = 41974308288.

The previous prime is 105465753313. The next prime is 105465753343. The reversal of 105465753340 is 43357564501.

It is a super-2 number, since 2×105465753340² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105465753343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13245487 + ... + 13253446.

It is an arithmetic number, because the mean of its divisors is an integer number (9274626900).

Almost surely, 2^105465753340 is an apocalyptic number.

105465753340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105465753340 is an abundant number, since it is smaller than the sum of its proper divisors (117125292260).

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

105465753340 is a wasteful number, since it uses less digits than its factorization.

105465753340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26499141 (or 26499139 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 43.

The spelling of 105465753340 in words is "one hundred five billion, four hundred sixty-five million, seven hundred fifty-three thousand, three hundred forty".