105712924416 has 288 divisors, whose sum is σ = 319986401280. Its totient is φ = 30692044800.

The previous prime is 105712924403. The next prime is 105712924417. The reversal of 105712924416 is 614429217501.

It is a super-2 number, since 2×105712924416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105712924417) 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, 26972505 + ... + 26976423.

Almost surely, 2^105712924416 is an apocalyptic number.

105712924416 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 105712924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159993200640).

105712924416 is an abundant number, since it is smaller than the sum of its proper divisors (214273476864).

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

105712924416 is a wasteful number, since it uses less digits than its factorization.

105712924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 105712924416 in words is "one hundred five billion, seven hundred twelve million, nine hundred twenty-four thousand, four hundred sixteen".