1030400112 has 80 divisors (see below), whose sum is σ = 3053391872. Its totient is φ = 293310720.

The previous prime is 1030400101. The next prime is 1030400117. The reversal of 1030400112 is 2110040301.

It is a happy number.

1030400112 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 2×1030400112² = 2123448781619225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030400117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87537 + ... + 98607.

Almost surely, 2^1030400112 is an apocalyptic number.

1030400112 is a gapful number since it is divisible by the number (12) 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 1030400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526695936).

1030400112 is an abundant number, since it is smaller than the sum of its proper divisors (2022991760).

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

1030400112 is a wasteful number, since it uses less digits than its factorization.

1030400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 11360 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1030400112 is about 32099.8459809389. The cubic root of 1030400112 is about 1010.0323853289.

Adding to 1030400112 its reverse (2110040301), we get a palindrome (3140440413).

The spelling of 1030400112 in words is "one billion, thirty million, four hundred thousand, one hundred twelve".