102801950816544 has 360 divisors, whose sum is σ = 363044076772608. Its totient is φ = 28424501441280.

The previous prime is 102801950816507. The next prime is 102801950816549. The reversal of 102801950816544 is 445618059108201.

102801950816544 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 0 + 1 + 95 + 0 + 8 + 1 + 6 + 544 = 666.

102801950816544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (102801950816549) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9117804 + ... + 16992299.

Almost surely, 2^{102801950816544} is an apocalyptic number.

102801950816544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102801950816544 is an abundant number, since it is smaller than the sum of its proper divisors (260242125956064).

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

102801950816544 is a wasteful number, since it uses less digits than its factorization.

102801950816544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26110170 (or 26110146 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 102801950816544 in words is "one hundred two trillion, eight hundred one billion, nine hundred fifty million, eight hundred sixteen thousand, five hundred forty-four".