103283703577332 has 240 divisors, whose sum is σ = 290793234676560. Its totient is φ = 31899280508928.

The previous prime is 103283703577319. The next prime is 103283703577421. The reversal of 103283703577332 is 233775307382301.

103283703577332 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 8 + 37 + 0 + 3 + 577 + 3 + 32 = 666.

103283703577332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1734267751056 + 101549435826276 = 1316916^2 + 10077174^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23343738 + ... + 27413454.

It is an arithmetic number, because the mean of its divisors is an integer number (1211638477819).

Almost surely, 2^{103283703577332} is an apocalyptic number.

103283703577332 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 103283703577332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145396617338280).

103283703577332 is an abundant number, since it is smaller than the sum of its proper divisors (187509531099228).

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

103283703577332 is a wasteful number, since it uses less digits than its factorization.

103283703577332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069872 (or 4069861 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 103283703577332 in words is "one hundred three trillion, two hundred eighty-three billion, seven hundred three million, five hundred seventy-seven thousand, three hundred thirty-two".