103255675790400 has 567 divisors, whose sum is σ = 426947904712719. Its totient is φ = 23599346319360.

The previous prime is 103255675790387. The next prime is 103255675790437. The reversal of 103255675790400 is 4097576552301.

It is a happy number.

The square root of 103255675790400 is 10161480.

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

103255675790400 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 5 + 5 + 67 + 579 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49000784003136 + 54254891787264 = 7000056^2 + 7365792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8535637152 + ... + 8535649248.

Almost surely, 2^{103255675790400} is an apocalyptic number.

103255675790400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103255675790400 is the 10161480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103255675790400

103255675790400 is an abundant number, since it is smaller than the sum of its proper divisors (323692228922319).

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

103255675790400 is an frugal number, since it uses more digits than its factorization.

103255675790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24236 (or 12114 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 103255675790400 in words is "one hundred three trillion, two hundred fifty-five billion, six hundred seventy-five million, seven hundred ninety thousand, four hundred".