103023001000 has 64 divisors (see below), whose sum is σ = 241317956880. Its totient is φ = 41167468800.

The previous prime is 103023000989. The next prime is 103023001019. The reversal of 103023001000 is 100320301.

103023001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 35496820836 + 67526180164 = 188406^2 + 259858^2 .

It is a super-2 number, since 2×103023001000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945334 + ... + 1048666.

Almost surely, 2^103023001000 is an apocalyptic number.

103023001000 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 103023001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120658978440).

103023001000 is an abundant number, since it is smaller than the sum of its proper divisors (138294955880).

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

103023001000 is a wasteful number, since it uses less digits than its factorization.

103023001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104351 (or 104337 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 103023001000 its reverse (100320301), we get a palindrome (103123321301).

The spelling of 103023001000 in words is "one hundred three billion, twenty-three million, one thousand".