102393600100 has 81 divisors (see below), whose sum is σ = 244313877451. Its totient is φ = 37221236800.

The previous prime is 102393600097. The next prime is 102393600137. The reversal of 102393600100 is 1006393201.

The square root of 102393600100 is 319990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7312644196 + 95080955904 = 85514^2 + 308352^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35197446 + ... + 35200354.

Almost surely, 2^102393600100 is an apocalyptic number.

102393600100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102393600100 is the 319990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102393600100

102393600100 is an abundant number, since it is smaller than the sum of its proper divisors (141920277351).

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

102393600100 is an equidigital number, since it uses as much as digits as its factorization.

102393600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Multiplying 102393600100 by its sum of digits (25), we get a square (2559840002500 = 1599950²).

102393600100 divided by its sum of digits (25) gives a square (4095744004 = 63998²).

Adding to 102393600100 its reverse (1006393201), we get a palindrome (103399993301).

The spelling of 102393600100 in words is "one hundred two billion, three hundred ninety-three million, six hundred thousand, one hundred".