1054134900 has 432 divisors, whose sum is σ = 4152873088. Its totient is φ = 217728000.

The previous prime is 1054134899. The next prime is 1054134901. The reversal of 1054134900 is 94314501.

1054134900 is a `hidden beast` number, since 1 + 0 + 541 + 34 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1054134899) and next prime (1054134901).

It is a super-2 number, since 2×1054134900² = 2222400774796020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054134901) 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 143 ways as a sum of consecutive naturals, for example, 4995795 + ... + 4996005.

Almost surely, 2^1054134900 is an apocalyptic number.

1054134900 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 1054134900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076436544).

1054134900 is an abundant number, since it is smaller than the sum of its proper divisors (3098738188).

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

1054134900 is a wasteful number, since it uses less digits than its factorization.

1054134900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1054134900 is about 32467.4436936449. The cubic root of 1054134900 is about 1017.7287989079.

The spelling of 1054134900 in words is "one billion, fifty-four million, one hundred thirty-four thousand, nine hundred".