105215441540 has 48 divisors (see below), whose sum is σ = 255217785984. Its totient is φ = 36009561600.

The previous prime is 105215441437. The next prime is 105215441549. The reversal of 105215441540 is 45144512501.

It is a happy number.

It is a super-2 number, since 2×105215441540² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105215441497 and 105215441506.

It is not an unprimeable number, because it can be changed into a prime (105215441549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14062496 + ... + 14069975.

It is an arithmetic number, because the mean of its divisors is an integer number (5317037208).

Almost surely, 2^105215441540 is an apocalyptic number.

105215441540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105215441540 is an abundant number, since it is smaller than the sum of its proper divisors (150002344444).

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

105215441540 is a wasteful number, since it uses less digits than its factorization.

105215441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28132508 (or 28132506 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 105215441540 in words is "one hundred five billion, two hundred fifteen million, four hundred forty-one thousand, five hundred forty".