105620438616 has 64 divisors (see below), whose sum is σ = 329206567680. Its totient is φ = 27433879680.

The previous prime is 105620438603. The next prime is 105620438657. The reversal of 105620438616 is 616834026501.

It is a super-2 number, since 2×105620438616² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28575111 + ... + 28578806.

It is an arithmetic number, because the mean of its divisors is an integer number (5143852620).

Almost surely, 2^105620438616 is an apocalyptic number.

It is an amenable number.

105620438616 is an abundant number, since it is smaller than the sum of its proper divisors (223586129064).

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

105620438616 is a wasteful number, since it uses less digits than its factorization.

105620438616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57153944 (or 57153940 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 105620438616 in words is "one hundred five billion, six hundred twenty million, four hundred thirty-eight thousand, six hundred sixteen".