105041520 has 120 divisors (see below), whose sum is σ = 362390496. Its totient is φ = 27247104.

The previous prime is 105041491. The next prime is 105041527. The reversal of 105041520 is 25140501.

105041520 is a `hidden beast` number, since 10 + 504 + 152 + 0 = 666.

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

It is a super-2 number, since 2×105041520² = 22067441847820800, 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 = 105041493 and 105041502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105041527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24669 + ... + 28611.

Almost surely, 2^105041520 is an apocalyptic number.

105041520 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 105041520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181195248).

105041520 is an abundant number, since it is smaller than the sum of its proper divisors (257348976).

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

105041520 is a wasteful number, since it uses less digits than its factorization.

105041520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105041520 is about 10248.9765342692. The cubic root of 105041520 is about 471.8315735368.

The spelling of 105041520 in words is "one hundred five million, forty-one thousand, five hundred twenty".