105512540 has 96 divisors (see below), whose sum is σ = 274627584. Its totient is φ = 33223680.

The previous prime is 105512503. The next prime is 105512549. The reversal of 105512540 is 45215501.

It is a happy number.

It is a super-2 number, since 2×105512540² = 22265792194503200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105512549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101825 + ... + 102855.

It is an arithmetic number, because the mean of its divisors is an integer number (2860704).

Almost surely, 2^105512540 is an apocalyptic number.

105512540 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 105512540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137313792).

105512540 is an abundant number, since it is smaller than the sum of its proper divisors (169115044).

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

105512540 is a wasteful number, since it uses less digits than its factorization.

105512540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 105512540 is about 10271.9297115975. The cubic root of 105512540 is about 472.5357736322.

The spelling of 105512540 in words is "one hundred five million, five hundred twelve thousand, five hundred forty".