103027645440 has 396 divisors, whose sum is σ = 370820453016. Its totient is φ = 27465080832.

The previous prime is 103027645411. The next prime is 103027645459. The reversal of 103027645440 is 44546720301.

103027645440 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 7 + 645 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×103027645440² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103027645395 and 103027645404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33590787 + ... + 33593853.

Almost surely, 2^103027645440 is an apocalyptic number.

103027645440 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 103027645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185410226508).

103027645440 is an abundant number, since it is smaller than the sum of its proper divisors (267792807576).

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

103027645440 is an frugal number, since it uses more digits than its factorization.

103027645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 103027645440 in words is "one hundred three billion, twenty-seven million, six hundred forty-five thousand, four hundred forty".