106303120 has 80 divisors (see below), whose sum is σ = 308158848. Its totient is φ = 33131520.

The previous prime is 106303069. The next prime is 106303139. The reversal of 106303120 is 21303601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106303120² = 22600706643468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 106303094 and 106303103.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2469 + ... + 14788.

Almost surely, 2^106303120 is an apocalyptic number.

106303120 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 106303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154079424).

106303120 is an abundant number, since it is smaller than the sum of its proper divisors (201855728).

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

106303120 is a wasteful number, since it uses less digits than its factorization.

106303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17288 (or 17282 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 106303120 is about 10310.3404405480. The cubic root of 106303120 is about 473.7130370328.

Adding to 106303120 its reverse (21303601), we get a palindrome (127606721).

The spelling of 106303120 in words is "one hundred six million, three hundred three thousand, one hundred twenty".