103765442000 has 160 divisors (see below), whose sum is σ = 274864157568. Its totient is φ = 37574400000.

The previous prime is 103765441987. The next prime is 103765442009. The reversal of 103765442000 is 244567301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103765442009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5292215 + ... + 5311785.

Almost surely, 2^103765442000 is an apocalyptic number.

103765442000 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 103765442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137432078784).

103765442000 is an abundant number, since it is smaller than the sum of its proper divisors (171098715568).

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

103765442000 is a wasteful number, since it uses less digits than its factorization.

103765442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19846 (or 19830 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 103765442000 in words is "one hundred three billion, seven hundred sixty-five million, four hundred forty-two thousand".