10500420 has 96 divisors (see below), whose sum is σ = 35094528. Its totient is φ = 2293632.

The previous prime is 10500379. The next prime is 10500421. The reversal of 10500420 is 2400501.

It is a super-2 number, since 2×10500420² = 220517640352800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10500396 and 10500405.

It is not an unprimeable number, because it can be changed into a prime (10500421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9117 + ... + 10203.

It is an arithmetic number, because the mean of its divisors is an integer number (365568).

Almost surely, 2^10500420 is an apocalyptic number.

10500420 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 10500420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17547264).

10500420 is an abundant number, since it is smaller than the sum of its proper divisors (24594108).

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

10500420 is a wasteful number, since it uses less digits than its factorization.

10500420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10500420 is about 3240.4351559629. The cubic root of 10500420 is about 218.9788766349.

Adding to 10500420 its reverse (2400501), we get a palindrome (12900921).

It can be divided in two parts, 10500 and 420, that multiplied together give a square (4410000 = 2100²).

The spelling of 10500420 in words is "ten million, five hundred thousand, four hundred twenty".