105404120120 has 64 divisors (see below), whose sum is σ = 270425977920. Its totient is φ = 36629121024.

The previous prime is 105404120083. The next prime is 105404120153. The reversal of 105404120120 is 21021404501.

It is a happy number.

It is a super-2 number, since 2×105404120120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105404120092 and 105404120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5952932 + ... + 5970611.

It is an arithmetic number, because the mean of its divisors is an integer number (4225405905).

Almost surely, 2^105404120120 is an apocalyptic number.

105404120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105404120120 is an abundant number, since it is smaller than the sum of its proper divisors (165021857800).

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

105404120120 is a wasteful number, since it uses less digits than its factorization.

105404120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11923584 (or 11923580 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 105404120120 its reverse (21021404501), we get a palindrome (126425524621).

The spelling of 105404120120 in words is "one hundred five billion, four hundred four million, one hundred twenty thousand, one hundred twenty".