1023138900 has 324 divisors, whose sum is σ = 3843872032. Its totient is φ = 222963840.

The previous prime is 1023138899. The next prime is 1023138929. The reversal of 1023138900 is 98313201.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 3332547 + ... + 3332853.

Almost surely, 2^1023138900 is an apocalyptic number.

1023138900 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 1023138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921936016).

1023138900 is an abundant number, since it is smaller than the sum of its proper divisors (2820733132).

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

1023138900 is a wasteful number, since it uses less digits than its factorization.

1023138900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1023138900 is about 31986.5424827380. The cubic root of 1023138900 is about 1007.6542299505.

The spelling of 1023138900 in words is "one billion, twenty-three million, one hundred thirty-eight thousand, nine hundred".