106620072 has 96 divisors (see below), whose sum is σ = 292682880. Its totient is φ = 32348160.

The previous prime is 106620071. The next prime is 106620109. The reversal of 106620072 is 270026601.

It is a happy number.

It is a super-2 number, since 2×106620072² = 22735679506570368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106620071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 393297 + ... + 393567.

It is an arithmetic number, because the mean of its divisors is an integer number (3048780).

Almost surely, 2^106620072 is an apocalyptic number.

106620072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106620072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146341440).

106620072 is an abundant number, since it is smaller than the sum of its proper divisors (186062808).

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

106620072 is a wasteful number, since it uses less digits than its factorization.

106620072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 106620072 is about 10325.6995888898. The cubic root of 106620072 is about 474.1833754338.

Adding to 106620072 its reverse (270026601), we get a palindrome (376646673).

The spelling of 106620072 in words is "one hundred six million, six hundred twenty thousand, seventy-two".