1010134400 has 96 divisors (see below), whose sum is σ = 2722292280. Its totient is φ = 367308800.

The previous prime is 1010134399. The next prime is 1010134421. The reversal of 1010134400 is 44310101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20852 + ... + 49548.

Almost surely, 2^1010134400 is an apocalyptic number.

1010134400 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 1010134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361146140).

1010134400 is an abundant number, since it is smaller than the sum of its proper divisors (1712157880).

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

1010134400 is a wasteful number, since it uses less digits than its factorization.

1010134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28732 (or 28715 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1010134400 is about 31782.6115981680. The cubic root of 1010134400 is about 1003.3667853685.

Adding to 1010134400 its reverse (44310101), we get a palindrome (1054444501).

The spelling of 1010134400 in words is "one billion, ten million, one hundred thirty-four thousand, four hundred".