106315501241360 has 20 divisors (see below), whose sum is σ = 247183540386348. Its totient is φ = 42526200496512.

The previous prime is 106315501241351. The next prime is 106315501241371. The reversal of 106315501241360 is 63142105513601.

It can be written as a sum of positive squares in 2 ways, for example, as 52109860688656 + 54205640552704 = 7218716^2 + 7362448^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106315501241360² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 664471882679 + ... + 664471882838.

Almost surely, 2^{106315501241360} is an apocalyptic number.

106315501241360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106315501241360 is an abundant number, since it is smaller than the sum of its proper divisors (140868039144988).

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

106315501241360 is a wasteful number, since it uses less digits than its factorization.

106315501241360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328943765530 (or 1328943765524 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

Adding to 106315501241360 its reverse (63142105513601), we get a palindrome (169457606754961).

The spelling of 106315501241360 in words is "one hundred six trillion, three hundred fifteen billion, five hundred one million, two hundred forty-one thousand, three hundred sixty".