105040501040 has 40 divisors (see below), whose sum is σ = 250175737728. Its totient is φ = 40991413760.

The previous prime is 105040501009. The next prime is 105040501073. The reversal of 105040501040 is 40105040501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105040501040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16008992 + ... + 16015551.

Almost surely, 2^105040501040 is an apocalyptic number.

105040501040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105040501040 is an abundant number, since it is smaller than the sum of its proper divisors (145135236688).

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

105040501040 is a wasteful number, since it uses less digits than its factorization.

105040501040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32024597 (or 32024591 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 105040501040 its reverse (40105040501), we get a palindrome (145145541541).

The spelling of 105040501040 in words is "one hundred five billion, forty million, five hundred one thousand, forty".