101678714641 has 9 divisors (see below), whose sum is σ = 118281917691. Its totient is φ = 87151270752.

The previous prime is 101678714633. The next prime is 101678714689. The reversal of 101678714641 is 146417876101.

The square root of 101678714641 is 318871.

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

It can be written as a sum of positive squares in only one way, i.e., 78969430225 + 22709284416 = 281015^2 + 150696^2 .

It is not a de Polignac number, because 101678714641 - 2³ = 101678714633 is a prime.

It is a super-2 number, since 2×101678714641² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101678714591 and 101678714600.

It is not an unprimeable number, because it can be changed into a prime (101675714641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2209321 + ... + 2254873.

It is an arithmetic number, because the mean of its divisors is an integer number (13142435299).

Almost surely, 2^101678714641 is an apocalyptic number.

101678714641 is the 318871-st square number.

101678714641 is the 159436-th centered octagonal number.

It is an amenable number.

101678714641 is a deficient number, since it is larger than the sum of its proper divisors (16603203050).

101678714641 is an frugal number, since it uses more digits than its factorization.

101678714641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91120 (or 45560 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The spelling of 101678714641 in words is "one hundred one billion, six hundred seventy-eight million, seven hundred fourteen thousand, six hundred forty-one".