105440220500 has 48 divisors (see below), whose sum is σ = 230332157328. Its totient is φ = 42166800000.

The previous prime is 105440220481. The next prime is 105440220503. The reversal of 105440220500 is 5022044501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 89183460496 + 16256760004 = 298636^2 + 127502^2 .

It is a super-2 number, since 2×105440220500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105440220503) 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, 2529830 + ... + 2571170.

It is an arithmetic number, because the mean of its divisors is an integer number (4798586611).

Almost surely, 2^105440220500 is an apocalyptic number.

105440220500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105440220500 is an abundant number, since it is smaller than the sum of its proper divisors (124891936828).

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

105440220500 is a wasteful number, since it uses less digits than its factorization.

105440220500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46461 (or 46449 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The spelling of 105440220500 in words is "one hundred five billion, four hundred forty million, two hundred twenty thousand, five hundred".