10402120 has 32 divisors (see below), whose sum is σ = 24638400. Its totient is φ = 3941568.

The previous prime is 10402103. The next prime is 10402129. The reversal of 10402120 is 2120401.

10402120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10402097 and 10402106.

It is not an unprimeable number, because it can be changed into a prime (10402129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6084 + ... + 7603.

It is an arithmetic number, because the mean of its divisors is an integer number (769950).

Almost surely, 2^10402120 is an apocalyptic number.

10402120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402120 is an abundant number, since it is smaller than the sum of its proper divisors (14236280).

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

10402120 is a wasteful number, since it uses less digits than its factorization.

10402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13717 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10402120 is about 3225.2317746171. The cubic root of 10402120 is about 218.2934073540.

Adding to 10402120 its reverse (2120401), we get a palindrome (12522521).

It can be divided in two parts, 1040 and 2120, that added together give a triangular number (3160 = T₇₉).

The spelling of 10402120 in words is "ten million, four hundred two thousand, one hundred twenty".