1009431100 has 36 divisors (see below), whose sum is σ = 2319320304. Its totient is φ = 380020480.

The previous prime is 1009431041. The next prime is 1009431103. The reversal of 1009431100 is 11349001.

It is a happy number.

1009431100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1009431100² = 2037902291294420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009431103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295192 + ... + 298591.

It is an arithmetic number, because the mean of its divisors is an integer number (64425564).

Almost surely, 2^1009431100 is an apocalyptic number.

1009431100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009431100 is an abundant number, since it is smaller than the sum of its proper divisors (1309889204).

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

1009431100 is a wasteful number, since it uses less digits than its factorization.

1009431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593814 (or 593807 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1009431100 is about 31771.5454455713. The cubic root of 1009431100 is about 1003.1338686082.

The spelling of 1009431100 in words is "one billion, nine million, four hundred thirty-one thousand, one hundred".