105440405503040 has 56 divisors (see below), whose sum is σ = 254519417244120. Its totient is φ = 41598406545408.

The previous prime is 105440405503009. The next prime is 105440405503073. The reversal of 105440405503040 is 40305504044501.

It can be written as a sum of positive squares in 4 ways, for example, as 24712193130496 + 80728212372544 = 4971136^2 + 8984888^2 .

It is a super-2 number, since 2×105440405503040² (a number of 29 digits) contains 22 as substring.

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, 2256834635 + ... + 2256881354.

It is an arithmetic number, because the mean of its divisors is an integer number (4544989593645).

Almost surely, 2^{105440405503040} is an apocalyptic number.

105440405503040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105440405503040 is an abundant number, since it is smaller than the sum of its proper divisors (149079011741080).

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

105440405503040 is an equidigital number, since it uses as much as digits as its factorization.

105440405503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513716079 (or 4513716069 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 105440405503040 its reverse (40305504044501), we get a palindrome (145745909547541).

The spelling of 105440405503040 in words is "one hundred five trillion, four hundred forty billion, four hundred five million, five hundred three thousand, forty".