105505051040 has 96 divisors (see below), whose sum is σ = 255188828160. Its totient is φ = 41201915904.

The previous prime is 105505051031. The next prime is 105505051103. The reversal of 105505051040 is 40150505501.

It is a super-2 number, since 2×105505051040² (a number of 23 digits) contains 22 as substring.

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, 3058529 + ... + 3092831.

It is an arithmetic number, because the mean of its divisors is an integer number (2658216960).

Almost surely, 2^105505051040 is an apocalyptic number.

105505051040 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 105505051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127594414080).

105505051040 is an abundant number, since it is smaller than the sum of its proper divisors (149683777120).

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

105505051040 is a wasteful number, since it uses less digits than its factorization.

105505051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34774 (or 34766 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

Adding to 105505051040 its reverse (40150505501), we get a palindrome (145655556541).

The spelling of 105505051040 in words is "one hundred five billion, five hundred five million, fifty-one thousand, forty".