105351120 has 120 divisors (see below), whose sum is σ = 404366976. Its totient is φ = 24079104.

The previous prime is 105351107. The next prime is 105351131. The reversal of 105351120 is 21153501.

105351120 is a `hidden beast` number, since 10 + 535 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105351120² = 22197716970508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105351093 and 105351102.

It is a congruent number.

It is an unprimeable number.

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, 5412 + ... + 15491.

Almost surely, 2^105351120 is an apocalyptic number.

105351120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105351120 is an abundant number, since it is smaller than the sum of its proper divisors (299015856).

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

105351120 is a wasteful number, since it uses less digits than its factorization.

105351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20929 (or 20920 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105351120 is about 10264.0693684328. The cubic root of 105351120 is about 472.2946785757.

The spelling of 105351120 in words is "one hundred five million, three hundred fifty-one thousand, one hundred twenty".