103329005940 has 480 divisors, whose sum is σ = 357450153984. Its totient is φ = 24873246720.

The previous prime is 103329005939. The next prime is 103329005951. The reversal of 103329005940 is 49500923301.

It is a happy number.

103329005940 is a `hidden beast` number, since 10 + 33 + 29 + 0 + 0 + 594 + 0 = 666.

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 = 103329005895 and 103329005904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 108424504 + ... + 108425456.

Almost surely, 2^103329005940 is an apocalyptic number.

103329005940 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 103329005940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178725076992).

103329005940 is an abundant number, since it is smaller than the sum of its proper divisors (254121148044).

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

103329005940 is a wasteful number, since it uses less digits than its factorization.

103329005940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 103329005940 in words is "one hundred three billion, three hundred twenty-nine million, five thousand, nine hundred forty".