103795830000 has 500 divisors, whose sum is σ = 378729767680. Its totient is φ = 27433728000.

The previous prime is 103795829983. The next prime is 103795830007. The reversal of 103795830000 is 38597301.

103795830000 is a `hidden beast` number, since 1 + 0 + 3 + 79 + 583 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (500).

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 (103795830007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 102869496 + ... + 102870504.

Almost surely, 2^103795830000 is an apocalyptic number.

103795830000 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 103795830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189364883840).

103795830000 is an abundant number, since it is smaller than the sum of its proper divisors (274933937680).

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

103795830000 is a wasteful number, since it uses less digits than its factorization.

103795830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 103795830000 in words is "one hundred three billion, seven hundred ninety-five million, eight hundred thirty thousand".