105515333616 has 80 divisors (see below), whose sum is σ = 339841605888. Its totient is φ = 27406579200.

The previous prime is 105515333551. The next prime is 105515333639. The reversal of 105515333616 is 616333515501.

It is a super-2 number, since 2×105515333616² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14270565 + ... + 14277956.

Almost surely, 2^105515333616 is an apocalyptic number.

105515333616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105515333616 is an abundant number, since it is smaller than the sum of its proper divisors (234326272272).

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

105515333616 is a wasteful number, since it uses less digits than its factorization.

105515333616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28548550 (or 28548544 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The spelling of 105515333616 in words is "one hundred five billion, five hundred fifteen million, three hundred thirty-three thousand, six hundred sixteen".