10145355066600 has 192 divisors, whose sum is σ = 35342481686400. Its totient is φ = 2388739077120.

The previous prime is 10145355066589. The next prime is 10145355066619. The reversal of 10145355066600 is 666055354101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28096395 + ... + 28455194.

It is an arithmetic number, because the mean of its divisors is an integer number (184075425450).

Almost surely, 2^{10145355066600} is an apocalyptic number.

10145355066600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145355066600 is an abundant number, since it is smaller than the sum of its proper divisors (25197126619800).

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

10145355066600 is a wasteful number, since it uses less digits than its factorization.

10145355066600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56551644 (or 56551635 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 10145355066600 in words is "ten trillion, one hundred forty-five billion, three hundred fifty-five million, sixty-six thousand, six hundred".