102742350336 has 240 divisors, whose sum is σ = 305301100104. Its totient is φ = 33247199232.

The previous prime is 102742350317. The next prime is 102742350349. The reversal of 102742350336 is 633053247201.

102742350336 is a `hidden beast` number, since 1 + 0 + 274 + 2 + 3 + 50 + 336 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65823033600 + 36919316736 = 256560^2 + 192144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102742350336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23687560 + ... + 23691896.

Almost surely, 2^102742350336 is an apocalyptic number.

102742350336 is a gapful number since it is divisible by the number (16) 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 102742350336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152650550052).

102742350336 is an abundant number, since it is smaller than the sum of its proper divisors (202558749768).

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

102742350336 is an equidigital number, since it uses as much as digits as its factorization.

102742350336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 102742350336 its reverse (633053247201), we get a palindrome (735795597537).

The spelling of 102742350336 in words is "one hundred two billion, seven hundred forty-two million, three hundred fifty thousand, three hundred thirty-six".