102745935154400 has 576 divisors, whose sum is σ = 275497117056000. Its totient is φ = 37285849497600.

The previous prime is 102745935154351. The next prime is 102745935154453. The reversal of 102745935154400 is 4451539547201.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7709600537 + ... + 7709613863.

It is an arithmetic number, because the mean of its divisors is an integer number (478293606000).

Almost surely, 2^{102745935154400} is an apocalyptic number.

102745935154400 is a gapful number since it is divisible by the number (10) 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 102745935154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137748558528000).

102745935154400 is an abundant number, since it is smaller than the sum of its proper divisors (172751181901600).

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

102745935154400 is a wasteful number, since it uses less digits than its factorization.

102745935154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13635 (or 13622 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 50.

The spelling of 102745935154400 in words is "one hundred two trillion, seven hundred forty-five billion, nine hundred thirty-five million, one hundred fifty-four thousand, four hundred".