103937142000 has 80 divisors (see below), whose sum is σ = 335093365152. Its totient is φ = 27716569600.

The previous prime is 103937141981. The next prime is 103937142007. The reversal of 103937142000 is 241739301.

103937142000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103937142007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8655429 + ... + 8667428.

Almost surely, 2^103937142000 is an apocalyptic number.

103937142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103937142000 is an abundant number, since it is smaller than the sum of its proper divisors (231156223152).

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

103937142000 is a wasteful number, since it uses less digits than its factorization.

103937142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17322883 (or 17322867 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 103937142000 in words is "one hundred three billion, nine hundred thirty-seven million, one hundred forty-two thousand".