10400120 has 16 divisors (see below), whose sum is σ = 23400360. Its totient is φ = 4160032.

The previous prime is 10400077. The next prime is 10400123. The reversal of 10400120 is 2100401.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10400098 and 10400107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129962 + ... + 130041.

Almost surely, 2^10400120 is an apocalyptic number.

10400120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400120 is an abundant number, since it is smaller than the sum of its proper divisors (13000240).

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

10400120 is a wasteful number, since it uses less digits than its factorization.

10400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260014 (or 260010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10400120 is about 3224.9217044759. The cubic root of 10400120 is about 218.2794161420.

Adding to 10400120 its reverse (2100401), we get a palindrome (12500521).

The spelling of 10400120 in words is "ten million, four hundred thousand, one hundred twenty".