10055360 has 84 divisors (see below), whose sum is σ = 27779472. Its totient is φ = 3396096.

The previous prime is 10055341. The next prime is 10055363. The reversal of 10055360 is 6355001.

It is a super-2 number, since 2×10055360² = 202220529459200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10055363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150047 + ... + 150113.

It is an arithmetic number, because the mean of its divisors is an integer number (330708).

Almost surely, 2^10055360 is an apocalyptic number.

10055360 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 10055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889736).

10055360 is an abundant number, since it is smaller than the sum of its proper divisors (17724112).

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

10055360 is an frugal number, since it uses more digits than its factorization.

10055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 10055360 is about 3171.0187637414. The cubic root of 10055360 is about 215.8403026261.

The spelling of 10055360 in words is "ten million, fifty-five thousand, three hundred sixty".