105344135424 has 108 divisors (see below), whose sum is σ = 331345293552. Its totient is φ = 31922457600.

The previous prime is 105344135389. The next prime is 105344135459. The reversal of 105344135424 is 424531443501.

105344135424 is a `hidden beast` number, since 10 + 53 + 44 + 13 + 542 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (105344135389) and next prime (105344135459).

It is a super-2 number, since 2×105344135424² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 2052942 + ... + 2103629.

Almost surely, 2^105344135424 is an apocalyptic number.

It is an amenable number.

105344135424 is an abundant number, since it is smaller than the sum of its proper divisors (226001158128).

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

105344135424 is a wasteful number, since it uses less digits than its factorization.

105344135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156604 (or 4156587 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 105344135424 its reverse (424531443501), we get a palindrome (529875578925).

The spelling of 105344135424 in words is "one hundred five billion, three hundred forty-four million, one hundred thirty-five thousand, four hundred twenty-four".