106028160 has 320 divisors, whose sum is σ = 411410880. Its totient is φ = 23181312.

The previous prime is 106028159. The next prime is 106028161. The reversal of 106028160 is 61820601.

It is an interprime number because it is at equal distance from previous prime (106028159) and next prime (106028161).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×106028160² = 22483941425971200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106028160.

It is not an unprimeable number, because it can be changed into a prime (106028161) 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 39 ways as a sum of consecutive naturals, for example, 4609909 + ... + 4609931.

It is an arithmetic number, because the mean of its divisors is an integer number (1285659).

Almost surely, 2^106028160 is an apocalyptic number.

106028160 is a gapful number since it is divisible by the number (10) 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 106028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205705440).

106028160 is an abundant number, since it is smaller than the sum of its proper divisors (305382720).

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

106028160 is an frugal number, since it uses more digits than its factorization.

106028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 106028160 is about 10296.9976206659. The cubic root of 106028160 is about 473.3042544238.

Adding to 106028160 its reverse (61820601), we get a palindrome (167848761).

The spelling of 106028160 in words is "one hundred six million, twenty-eight thousand, one hundred sixty".