105947646016 has 189 divisors, whose sum is σ = 231410653383. Its totient is φ = 48121328640.

The previous prime is 105947646011. The next prime is 105947646019. The reversal of 105947646016 is 610646749501.

The square root of 105947646016 is 325496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31789463616 + 74158182400 = 178296^2 + 272320^2 .

It is a super-2 number, since 2×105947646016² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105947646011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1736846626 + ... + 1736846686.

Almost surely, 2^105947646016 is an apocalyptic number.

105947646016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105947646016 is the 325496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105947646016

105947646016 is an abundant number, since it is smaller than the sum of its proper divisors (125463007367).

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

105947646016 is an frugal number, since it uses more digits than its factorization.

105947646016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 105947646016 by its sum of digits (49), we get a square (5191434654784 = 2278472²).

The spelling of 105947646016 in words is "one hundred five billion, nine hundred forty-seven million, six hundred forty-six thousand, sixteen".