102739018464 has 240 divisors, whose sum is σ = 308149712640. Its totient is φ = 33570028800.

The previous prime is 102739018453. The next prime is 102739018471. The reversal of 102739018464 is 464810937201.

102739018464 is a `hidden beast` number, since 1 + 0 + 27 + 390 + 184 + 64 = 666.

It is a super-2 number, since 2×102739018464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 70804939 + ... + 70806389.

It is an arithmetic number, because the mean of its divisors is an integer number (1283957136).

Almost surely, 2^102739018464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102739018464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154074856320).

102739018464 is an abundant number, since it is smaller than the sum of its proper divisors (205410694176).

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

102739018464 is a wasteful number, since it uses less digits than its factorization.

102739018464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 102739018464 in words is "one hundred two billion, seven hundred thirty-nine million, eighteen thousand, four hundred sixty-four".