106072220 has 24 divisors (see below), whose sum is σ = 224961408. Its totient is φ = 42008000.

The previous prime is 106072217. The next prime is 106072223. The reversal of 106072220 is 22270601.

It is an interprime number because it is at equal distance from previous prime (106072217) and next prime (106072223).

It is a super-3 number, since 3×106072220³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 106072192 and 106072201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106072223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24236 + ... + 28275.

It is an arithmetic number, because the mean of its divisors is an integer number (9373392).

Almost surely, 2^106072220 is an apocalyptic number.

106072220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106072220 is an abundant number, since it is smaller than the sum of its proper divisors (118889188).

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

106072220 is a wasteful number, since it uses less digits than its factorization.

106072220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52621 (or 52619 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 106072220 is about 10299.1368570381. The cubic root of 106072220 is about 473.3698058695.

The spelling of 106072220 in words is "one hundred six million, seventy-two thousand, two hundred twenty".