106362420 has 48 divisors (see below), whose sum is σ = 305870208. Its totient is φ = 27596160.

The previous prime is 106362407. The next prime is 106362463. The reversal of 106362420 is 24263601.

It is a super-2 number, since 2×106362420² = 22625928776512800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21736 + ... + 26175.

It is an arithmetic number, because the mean of its divisors is an integer number (6372296).

Almost surely, 2^106362420 is an apocalyptic number.

106362420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106362420 is an abundant number, since it is smaller than the sum of its proper divisors (199507788).

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

106362420 is a wasteful number, since it uses less digits than its factorization.

106362420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47960 (or 47958 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106362420 is about 10313.2157933401. The cubic root of 106362420 is about 473.8011058222.

It can be divided in two parts, 106 and 362420, that added together give a triangular number (362526 = T₈₅₁).

The spelling of 106362420 in words is "one hundred six million, three hundred sixty-two thousand, four hundred twenty".