105051120 has 80 divisors (see below), whose sum is σ = 339835392. Its totient is φ = 26794240.

The previous prime is 105051113. The next prime is 105051151. The reversal of 105051120 is 21150501.

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

It is a super-2 number, since 2×105051120² = 22071475626508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105051120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3996 + ... + 15035.

Almost surely, 2^105051120 is an apocalyptic number.

105051120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105051120 is an abundant number, since it is smaller than the sum of its proper divisors (234784272).

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

105051120 is a wasteful number, since it uses less digits than its factorization.

105051120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19070 (or 19064 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 105051120 is about 10249.4448630158. Note that the first 3 decimals coincide. The cubic root of 105051120 is about 471.8459470439.

The spelling of 105051120 in words is "one hundred five million, fifty-one thousand, one hundred twenty".