103265640324 has 576 divisors, whose sum is σ = 345546819072. Its totient is φ = 25441827840.

The previous prime is 103265640239. The next prime is 103265640341. The reversal of 103265640324 is 423046562301.

103265640324 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 6 + 5 + 640 + 3 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 657742854 + ... + 657743010.

It is an arithmetic number, because the mean of its divisors is an integer number (599907672).

Almost surely, 2^103265640324 is an apocalyptic number.

103265640324 is a gapful number since it is divisible by the number (14) 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 103265640324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172773409536).

103265640324 is an abundant number, since it is smaller than the sum of its proper divisors (242281178748).

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

103265640324 is a wasteful number, since it uses less digits than its factorization.

103265640324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 103265640324 in words is "one hundred three billion, two hundred sixty-five million, six hundred forty thousand, three hundred twenty-four".