102713840100 has 189 divisors, whose sum is σ = 334462447417. Its totient is φ = 27367282080.

The previous prime is 102713840093. The next prime is 102713840101. The reversal of 102713840100 is 1048317201.

The square root of 102713840100 is 320490.

It is a perfect power (a square), and thus also a powerful number.

102713840100 is a `hidden beast` number, since 1 + 0 + 271 + 384 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36976982436 + 65736857664 = 192294^2 + 256392^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102713840101) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 86531707 + ... + 86532893.

Almost surely, 2^102713840100 is an apocalyptic number.

102713840100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102713840100 is the 320490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102713840100

102713840100 is an abundant number, since it is smaller than the sum of its proper divisors (231748607317).

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

102713840100 is an frugal number, since it uses more digits than its factorization.

102713840100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 102713840100 in words is "one hundred two billion, seven hundred thirteen million, eight hundred forty thousand, one hundred".