78735216105 has 192 divisors, whose sum is σ = 177756633600. Its totient is φ = 33222244608.

The previous prime is 78735216103. The next prime is 78735216107. The reversal of 78735216105 is 50161253787.

It is a happy number.

78735216105 is a `hidden beast` number, since 7 + 8 + 7 + 3 + 5 + 21 + 610 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (78735216103) and next prime (78735216107).

It is not a de Polignac number, because 78735216105 - 2¹ = 78735216103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (78735216101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5410419 + ... + 5424951.

It is an arithmetic number, because the mean of its divisors is an integer number (925815800).

Almost surely, 2^78735216105 is an apocalyptic number.

It is an amenable number.

78735216105 is an abundant number, since it is smaller than the sum of its proper divisors (99021417495).

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

78735216105 is a wasteful number, since it uses less digits than its factorization.

78735216105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14587 (or 14561 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 78735216105 in words is "seventy-eight billion, seven hundred thirty-five million, two hundred sixteen thousand, one hundred five".