105404123440 has 120 divisors (see below), whose sum is σ = 310991180112. Its totient is φ = 32853219840.

The previous prime is 105404123413. The next prime is 105404123459. The reversal of 105404123440 is 44321404501.

It is a super-2 number, since 2×105404123440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 105404123399 and 105404123408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179099 + ... + 1265338.

Almost surely, 2^105404123440 is an apocalyptic number.

105404123440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105404123440 is an abundant number, since it is smaller than the sum of its proper divisors (205587056672).

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

105404123440 is a wasteful number, since it uses less digits than its factorization.

105404123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444475 (or 2444462 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 105404123440 its reverse (44321404501), we get a palindrome (149725527941).

The spelling of 105404123440 in words is "one hundred five billion, four hundred four million, one hundred twenty-three thousand, four hundred forty".