105016676352 has 104 divisors (see below), whose sum is σ = 320012016576. Its totient is φ = 30004740096.

The previous prime is 105016676279. The next prime is 105016676377. The reversal of 105016676352 is 253676610501.

It is a super-2 number, since 2×105016676352² (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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524433 + ... + 696464.

Almost surely, 2^105016676352 is an apocalyptic number.

105016676352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105016676352 is an abundant number, since it is smaller than the sum of its proper divisors (214995340224).

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

105016676352 is an equidigital number, since it uses as much as digits as its factorization.

105016676352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220931 (or 1220909 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 105016676352 in words is "one hundred five billion, sixteen million, six hundred seventy-six thousand, three hundred fifty-two".