1030400000100 has 216 divisors, whose sum is σ = 3306216513600. Its totient is φ = 268271619840.

The previous prime is 1030400000027. The next prime is 1030400000129. The reversal of 1030400000100 is 10000040301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 136491126 + ... + 136498674.

Almost surely, 2^{1030400000100} is an apocalyptic number.

1030400000100 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 1030400000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653108256800).

1030400000100 is an abundant number, since it is smaller than the sum of its proper divisors (2275816513500).

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

1030400000100 is a wasteful number, since it uses less digits than its factorization.

1030400000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139 (or 11129 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1030400000100 its reverse (10000040301), we get a palindrome (1040400040401).

The spelling of 1030400000100 in words is "one trillion, thirty billion, four hundred million, one hundred", and thus it is an aban number.