105200015222440 has 64 divisors (see below), whose sum is σ = 238831127251200. Its totient is φ = 41702803156992.

The previous prime is 105200015222381. The next prime is 105200015222447. The reversal of 105200015222440 is 44222510002501.

It is a happy number.

It is a super-2 number, since 2×105200015222440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105200015222399 and 105200015222408.

It is not an unprimeable number, because it can be changed into a prime (105200015222447) 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, 23876380 + ... + 27937099.

It is an arithmetic number, because the mean of its divisors is an integer number (3731736363300).

Almost surely, 2^{105200015222440} is an apocalyptic number.

105200015222440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105200015222440 is an abundant number, since it is smaller than the sum of its proper divisors (133631112028760).

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

105200015222440 is a wasteful number, since it uses less digits than its factorization.

105200015222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51813946 (or 51813942 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 105200015222440 its reverse (44222510002501), we get a palindrome (149422525224941).

The spelling of 105200015222440 in words is "one hundred five trillion, two hundred billion, fifteen million, two hundred twenty-two thousand, four hundred forty".