10455120 has 120 divisors (see below), whose sum is σ = 37846536. Its totient is φ = 2571264.

The previous prime is 10455113. The next prime is 10455121. The reversal of 10455120 is 2155401.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 10188864 = 516^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10455093 and 10455102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10455121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8802 + ... + 9918.

Almost surely, 2^10455120 is an apocalyptic number.

10455120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18923268).

10455120 is an abundant number, since it is smaller than the sum of its proper divisors (27391416).

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

10455120 is a wasteful number, since it uses less digits than its factorization.

10455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10455120 is about 3233.4377989997. The cubic root of 10455120 is about 218.6635228248.

The spelling of 10455120 in words is "ten million, four hundred fifty-five thousand, one hundred twenty".