10506400 has 72 divisors (see below), whose sum is σ = 26810784. Its totient is φ = 4012800.

The previous prime is 10506383. The next prime is 10506407. The reversal of 10506400 is 460501.

It is a super-2 number, since 2×10506400² = 220768881920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (10506407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18115 + ... + 18685.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^10506400 is an apocalyptic number.

10506400 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 10506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392).

10506400 is an abundant number, since it is smaller than the sum of its proper divisors (16304384).

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

10506400 is a wasteful number, since it uses less digits than its factorization.

10506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10506400 is about 3241.3577402070. The cubic root of 10506400 is about 219.0204383113.

Adding to 10506400 its reverse (460501), we get a palindrome (10966901).

The spelling of 10506400 in words is "ten million, five hundred six thousand, four hundred".