10355520 has 224 divisors, whose sum is σ = 39794688. Its totient is φ = 2230272.

The previous prime is 10355509. The next prime is 10355537. The reversal of 10355520 is 2555301.

Added to its reverse (2555301) it gives a triangular number (12910821 = T₅₀₈₁).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×10355520³ (a number of 22 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 154527 + ... + 154593.

Almost surely, 2^10355520 is an apocalyptic number.

10355520 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 10355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897344).

10355520 is an abundant number, since it is smaller than the sum of its proper divisors (29439168).

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

10355520 is a wasteful number, since it uses less digits than its factorization.

10355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 10355520 is about 3217.9993784959. Note that the first 3 decimals coincide. The cubic root of 10355520 is about 217.9669450204.

Adding to 10355520 its reverse (2555301), we get a triangular number (12910821 = T₅₀₈₁).

It can be divided in two parts, 1035 and 5520, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 10355520 in words is "ten million, three hundred fifty-five thousand, five hundred twenty".