105145332540 has 48 divisors (see below), whose sum is σ = 295347581088. Its totient is φ = 27949169664.

The previous prime is 105145332529. The next prime is 105145332563. The reversal of 105145332540 is 45233541501.

It is a super-2 number, since 2×105145332540² (a number of 23 digits) contains 22 as substring.

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, 2780617 + ... + 2818176.

It is an arithmetic number, because the mean of its divisors is an integer number (6153074606).

Almost surely, 2^105145332540 is an apocalyptic number.

105145332540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105145332540 is an abundant number, since it is smaller than the sum of its proper divisors (190202248548).

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

105145332540 is a wasteful number, since it uses less digits than its factorization.

105145332540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599118 (or 5599116 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 105145332540 in words is "one hundred five billion, one hundred forty-five million, three hundred thirty-two thousand, five hundred forty".