10124820 has 36 divisors (see below), whose sum is σ = 30712500. Its totient is φ = 2699904.

The previous prime is 10124819. The next prime is 10124833. The reversal of 10124820 is 2842101.

10124820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6906384 + 3218436 = 2628^2 + 1794^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10124793 and 10124802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27945 + ... + 28304.

It is an arithmetic number, because the mean of its divisors is an integer number (853125).

Almost surely, 2^10124820 is an apocalyptic number.

10124820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124820 is an abundant number, since it is smaller than the sum of its proper divisors (20587680).

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

10124820 is a wasteful number, since it uses less digits than its factorization.

10124820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56264 (or 56259 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10124820 is about 3181.9522309425. The cubic root of 10124820 is about 216.3361535389.

Adding to 10124820 its reverse (2842101), we get a palindrome (12966921).

It can be divided in two parts, 1012 and 4820, that added together give a cube (5832 = 18³).

The spelling of 10124820 in words is "ten million, one hundred twenty-four thousand, eight hundred twenty".