103142970000 has 500 divisors, whose sum is σ = 426352223616. Its totient is φ = 23574240000.

The previous prime is 103142969999. The next prime is 103142970001. The reversal of 103142970000 is 79241301.

It is an interprime number because it is at equal distance from previous prime (103142969999) and next prime (103142970001).

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 (27).

It is not an unprimeable number, because it can be changed into a prime (103142970001) 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, 5660905 + ... + 5679095.

Almost surely, 2^103142970000 is an apocalyptic number.

103142970000 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 103142970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213176111808).

103142970000 is an abundant number, since it is smaller than the sum of its proper divisors (323209253616).

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

103142970000 is an equidigital number, since it uses as much as digits as its factorization.

103142970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18238 (or 18208 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 103142970000 in words is "one hundred three billion, one hundred forty-two million, nine hundred seventy thousand".