1145103727300 has 108 divisors (see below), whose sum is σ = 2692209468816. Its totient is φ = 422573923200.

The previous prime is 1145103727291. The next prime is 1145103727307. The reversal of 1145103727300 is 37273015411.

It is a super-2 number, since 2×1145103727300² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145103727307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32210535 + ... + 32246065.

It is an arithmetic number, because the mean of its divisors is an integer number (24927865452).

Almost surely, 2^{1145103727300} is an apocalyptic number.

1145103727300 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 1145103727300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346104734408).

1145103727300 is an abundant number, since it is smaller than the sum of its proper divisors (1547105741516).

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

1145103727300 is a wasteful number, since it uses less digits than its factorization.

1145103727300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37478 (or 37458 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 1145103727300 in words is "one trillion, one hundred forty-five billion, one hundred three million, seven hundred twenty-seven thousand, three hundred".