1023929900 has 72 divisors (see below), whose sum is σ = 2601354336. Its totient is φ = 342489600.

The previous prime is 1023929867. The next prime is 1023929909. The reversal of 1023929900 is 99293201.

It is a super-2 number, since 2×1023929900² = 2096864880228020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1023929909) 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 23 ways as a sum of consecutive naturals, for example, 10862 + ... + 46538.

Almost surely, 2^1023929900 is an apocalyptic number.

1023929900 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 1023929900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300677168).

1023929900 is an abundant number, since it is smaller than the sum of its proper divisors (1577424436).

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

1023929900 is a wasteful number, since it uses less digits than its factorization.

1023929900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35739 (or 35732 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 1023929900 is about 31998.9046687539. The cubic root of 1023929900 is about 1007.9138392698.

The spelling of 1023929900 in words is "one billion, twenty-three million, nine hundred twenty-nine thousand, nine hundred".