103327583040 has 896 divisors, whose sum is σ = 434838896640. Its totient is φ = 22804070400.

The previous prime is 103327583033. The next prime is 103327583081. The reversal of 103327583040 is 40385723301.

103327583040 is a `hidden beast` number, since 1 + 0 + 3 + 32 + 7 + 583 + 0 + 40 = 666.

It is a super-4 number, since 4×103327583040⁴ (a number of 45 digits) contains 4444 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 = 103327582986 and 103327583004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50085049 + ... + 50087111.

Almost surely, 2^103327583040 is an apocalyptic number.

103327583040 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 103327583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217419448320).

103327583040 is an abundant number, since it is smaller than the sum of its proper divisors (331511313600).

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

103327583040 is a wasteful number, since it uses less digits than its factorization.

103327583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 103327583040 in words is "one hundred three billion, three hundred twenty-seven million, five hundred eighty-three thousand, forty".