103002345792 has 224 divisors, whose sum is σ = 308972102400. Its totient is φ = 33642233856.

The previous prime is 103002345781. The next prime is 103002345793. The reversal of 103002345792 is 297543200301.

103002345792 is a `hidden beast` number, since 1 + 0 + 300 + 2 + 345 + 7 + 9 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103002345793) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17375533 + ... + 17381459.

Almost surely, 2^103002345792 is an apocalyptic number.

103002345792 is a gapful number since it is divisible by the number (12) 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 103002345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154486051200).

103002345792 is an abundant number, since it is smaller than the sum of its proper divisors (205969756608).

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

103002345792 is a wasteful number, since it uses less digits than its factorization.

103002345792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 103002345792 in words is "one hundred three billion, two million, three hundred forty-five thousand, seven hundred ninety-two".