106416220 has 24 divisors (see below), whose sum is σ = 226624608. Its totient is φ = 41966400.

The previous prime is 106416179. The next prime is 106416227. The reversal of 106416220 is 22614601.

It is a super-2 number, since 2×106416220² = 22648823758176800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106416191 and 106416200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106416227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36051 + ... + 38890.

It is an arithmetic number, because the mean of its divisors is an integer number (9442692).

Almost surely, 2^106416220 is an apocalyptic number.

106416220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106416220 is an abundant number, since it is smaller than the sum of its proper divisors (120208388).

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

106416220 is a wasteful number, since it uses less digits than its factorization.

106416220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75021 (or 75019 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 106416220 is about 10315.8237673973. The cubic root of 106416220 is about 473.8809780266.

It can be divided in two parts, 10641 and 6220, that added together give a palindrome (16861).

The spelling of 106416220 in words is "one hundred six million, four hundred sixteen thousand, two hundred twenty".