102745780992 has 216 divisors, whose sum is σ = 317129379840. Its totient is φ = 33143178240.

The previous prime is 102745780979. The next prime is 102745780999. The reversal of 102745780992 is 299087547201.

102745780992 is a `hidden beast` number, since 1 + 0 + 27 + 457 + 80 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102745780999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1901809 + ... + 1955087.

Almost surely, 2^102745780992 is an apocalyptic number.

102745780992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102745780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158564689920).

102745780992 is an abundant number, since it is smaller than the sum of its proper divisors (214383598848).

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

102745780992 is an frugal number, since it uses more digits than its factorization.

102745780992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53341 (or 53315 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 102745780992 in words is "one hundred two billion, seven hundred forty-five million, seven hundred eighty thousand, nine hundred ninety-two".