105187355616 has 192 divisors, whose sum is σ = 319756695552. Its totient is φ = 29655908352.

The previous prime is 105187355563. The next prime is 105187355617. The reversal of 105187355616 is 616553781501.

It is a super-2 number, since 2×105187355616² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105187355617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23920330 + ... + 23924726.

It is an arithmetic number, because the mean of its divisors is an integer number (1665399456).

Almost surely, 2^105187355616 is an apocalyptic number.

105187355616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105187355616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159878347776).

105187355616 is an abundant number, since it is smaller than the sum of its proper divisors (214569339936).

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

105187355616 is a wasteful number, since it uses less digits than its factorization.

105187355616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The spelling of 105187355616 in words is "one hundred five billion, one hundred eighty-seven million, three hundred fifty-five thousand, six hundred sixteen".