10106420 has 12 divisors (see below), whose sum is σ = 21223524. Its totient is φ = 4042560.

The previous prime is 10106417. The next prime is 10106431. The reversal of 10106420 is 2460101.

It can be written as a sum of positive squares in 2 ways, for example, as 2244004 + 7862416 = 1498^2 + 2804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10106395 and 10106404.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 252641 + ... + 252680.

It is an arithmetic number, because the mean of its divisors is an integer number (1768627).

Almost surely, 2^10106420 is an apocalyptic number.

10106420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106420 is an abundant number, since it is smaller than the sum of its proper divisors (11117104).

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

10106420 is a wasteful number, since it uses less digits than its factorization.

10106420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505330 (or 505328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10106420 is about 3179.0596093814. The cubic root of 10106420 is about 216.2050236689.

Adding to 10106420 its reverse (2460101), we get a palindrome (12566521).

The spelling of 10106420 in words is "ten million, one hundred six thousand, four hundred twenty".