103076021145600 has 624 divisors, whose sum is σ = 384315080703040. Its totient is φ = 27076637491200.

The previous prime is 103076021145583. The next prime is 103076021145607. The reversal of 103076021145600 is 6541120670301.

103076021145600 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 7 + 6 + 0 + 2 + 1 + 1 + 45 + 600 = 666.

It is a super-2 number, since 2×103076021145600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103076021145607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184963380 + ... + 185519820.

Almost surely, 2^{103076021145600} is an apocalyptic number.

103076021145600 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 103076021145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192157540351520).

103076021145600 is an abundant number, since it is smaller than the sum of its proper divisors (281239059557440).

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

103076021145600 is an equidigital number, since it uses as much as digits as its factorization.

103076021145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556551 (or 556518 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 103076021145600 in words is "one hundred three trillion, seventy-six billion, twenty-one million, one hundred forty-five thousand, six hundred".