10368120 has 64 divisors (see below), whose sum is σ = 35550720. Its totient is φ = 2369664.

The previous prime is 10368107. The next prime is 10368131. The reversal of 10368120 is 2186301.

10368120 is digitally balanced in base 2 and base 4, because in such bases 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 (21).

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, 5332 + ... + 7011.

It is an arithmetic number, because the mean of its divisors is an integer number (555480).

Almost surely, 2^10368120 is an apocalyptic number.

10368120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10368120 is an abundant number, since it is smaller than the sum of its proper divisors (25182600).

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

10368120 is a wasteful number, since it uses less digits than its factorization.

10368120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12364 (or 12360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10368120 is about 3219.9565214456. The cubic root of 10368120 is about 218.0553123961.

The spelling of 10368120 in words is "ten million, three hundred sixty-eight thousand, one hundred twenty".