1054102000 has 320 divisors, whose sum is σ = 3186653184. Its totient is φ = 329011200.

The previous prime is 1054101941. The next prime is 1054102009. The reversal of 1054102000 is 2014501.

It is a super-2 number, since 2×1054102000² = 2222262052808000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054102009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10233949 + ... + 10234051.

Almost surely, 2^1054102000 is an apocalyptic number.

1054102000 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 1054102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593326592).

1054102000 is an abundant number, since it is smaller than the sum of its proper divisors (2132551184).

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

1054102000 is a wasteful number, since it uses less digits than its factorization.

1054102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1054102000 is about 32466.9370283062. The cubic root of 1054102000 is about 1017.7182108810.

Adding to 1054102000 its reverse (2014501), we get a palindrome (1056116501).

The spelling of 1054102000 in words is "one billion, fifty-four million, one hundred two thousand".