1054102140 has 384 divisors, whose sum is σ = 4252416000. Its totient is φ = 210511872.

The previous prime is 1054102123. The next prime is 1054102141. The reversal of 1054102140 is 412014501.

It is a super-2 number, since 2×1054102140² = 2222262643105159200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054102141) 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 127 ways as a sum of consecutive naturals, for example, 933096 + ... + 934224.

It is an arithmetic number, because the mean of its divisors is an integer number (11074000).

Almost surely, 2^1054102140 is an apocalyptic number.

1054102140 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 1054102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126208000).

1054102140 is an abundant number, since it is smaller than the sum of its proper divisors (3198313860).

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

1054102140 is a wasteful number, since it uses less digits than its factorization.

1054102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1054102140 is about 32466.9391843457. The cubic root of 1054102140 is about 1017.7182559369.

Adding to 1054102140 its reverse (412014501), we get a palindrome (1466116641).

The spelling of 1054102140 in words is "one billion, fifty-four million, one hundred two thousand, one hundred forty".