105174377767936 has 33 divisors (see below), whose sum is σ = 210246702213331. Its totient is φ = 52587024796672.

The previous prime is 105174377767931. The next prime is 105174377768027. The reversal of 105174377767936 is 639767773471501.

The square root of 105174377767936 is 10255456.

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

It is a super-2 number, since 2×105174377767936² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105174377767931) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 328014351 + ... + 328334833.

Almost surely, 2^{105174377767936} is an apocalyptic number.

105174377767936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105174377767936 is the 10255456-th square number.

It is an amenable number.

105174377767936 is a deficient number, since it is larger than the sum of its proper divisors (105072324445395).

105174377767936 is an frugal number, since it uses more digits than its factorization.

105174377767936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640986 (or 320485 counting only the distinct ones).

The product of its (nonzero) digits is 980184240, while the sum is 73.

The spelling of 105174377767936 in words is "one hundred five trillion, one hundred seventy-four billion, three hundred seventy-seven million, seven hundred sixty-seven thousand, nine hundred thirty-six".