106020420 has 48 divisors (see below), whose sum is σ = 323846208. Its totient is φ = 25701760.

The previous prime is 106020389. The next prime is 106020469. The reversal of 106020420 is 24020601.

It is a super-2 number, since 2×106020420² = 22480658913952800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106020420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79659 + ... + 80978.

It is an arithmetic number, because the mean of its divisors is an integer number (6746796).

Almost surely, 2^106020420 is an apocalyptic number.

106020420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106020420 is an abundant number, since it is smaller than the sum of its proper divisors (217825788).

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

106020420 is a wasteful number, since it uses less digits than its factorization.

106020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160660 (or 160658 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 106020420 is about 10296.6217760972. The cubic root of 106020420 is about 473.2927371562.

The spelling of 106020420 in words is "one hundred six million, twenty thousand, four hundred twenty".