105155120 has 80 divisors (see below), whose sum is σ = 294147840. Its totient is φ = 34152192.

The previous prime is 105155117. The next prime is 105155123. The reversal of 105155120 is 21551501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105155117) and next prime (105155123).

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

It is a super-2 number, since 2×105155120² = 22115198524428800, which contains 22 as substring.

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 = 105155092 and 105155101.

It is not an unprimeable number, because it can be changed into a prime (105155123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5699 + ... + 15581.

It is an arithmetic number, because the mean of its divisors is an integer number (3676848).

Almost surely, 2^105155120 is an apocalyptic number.

105155120 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 105155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147073920).

105155120 is an abundant number, since it is smaller than the sum of its proper divisors (188992720).

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

105155120 is a wasteful number, since it uses less digits than its factorization.

105155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9922 (or 9916 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

The square root of 105155120 is about 10254.5170534745. The cubic root of 105155120 is about 472.0016039398.

The spelling of 105155120 in words is "one hundred five million, one hundred fifty-five thousand, one hundred twenty".