102961142743968 has 96 divisors (see below), whose sum is σ = 302318791992000. Its totient is φ = 34090042745088.

The previous prime is 102961142743889. The next prime is 102961142743969. The reversal of 102961142743968 is 869347241169201.

102961142743968 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 6 + 114 + 27 + 439 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (102961142743969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399763846 + ... + 400021317.

It is an arithmetic number, because the mean of its divisors is an integer number (3149154083250).

Almost surely, 2^{102961142743968} is an apocalyptic number.

102961142743968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102961142743968 is an abundant number, since it is smaller than the sum of its proper divisors (199357649248032).

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

102961142743968 is a wasteful number, since it uses less digits than its factorization.

102961142743968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799785331 (or 799785317 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 102961142743968 in words is "one hundred two trillion, nine hundred sixty-one billion, one hundred forty-two million, seven hundred forty-three thousand, nine hundred sixty-eight".