105378793641 has 63 divisors (see below), whose sum is σ = 173823964167. Its totient is φ = 63807503760.

The previous prime is 105378793603. The next prime is 105378793657. The reversal of 105378793641 is 146397873501.

The square root of 105378793641 is 324621.

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

105378793641 is a `hidden beast` number, since 1 + 0 + 537 + 8 + 79 + 36 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103841840025 + 1536953616 = 322245^2 + 39204^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105378793641 is a prime.

It is a super-2 number, since 2×105378793641² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105378794641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 96411891 + ... + 96412983.

Almost surely, 2^105378793641 is an apocalyptic number.

105378793641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105378793641 is the 324621-st square number.

105378793641 is the 162311-st centered octagonal number.

It is an amenable number.

105378793641 is a deficient number, since it is larger than the sum of its proper divisors (68445170526).

105378793641 is an frugal number, since it uses more digits than its factorization.

105378793641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 105378793641 in words is "one hundred five billion, three hundred seventy-eight million, seven hundred ninety-three thousand, six hundred forty-one".