1054105536 has 252 divisors, whose sum is σ = 3277259384. Its totient is φ = 298721280.

The previous prime is 1054105523. The next prime is 1054105567. The reversal of 1054105536 is 6355014501.

It is a super-2 number, since 2×1054105536² = 2222276962051694592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6713970 + ... + 6714126.

Almost surely, 2^1054105536 is an apocalyptic number.

1054105536 is a gapful number since it is divisible by the number (16) 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 1054105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638629692).

1054105536 is an abundant number, since it is smaller than the sum of its proper divisors (2223153848).

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

1054105536 is a wasteful number, since it uses less digits than its factorization.

1054105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1054105536 is about 32466.9914836592. The cubic root of 1054105536 is about 1017.7193488631.

The spelling of 1054105536 in words is "one billion, fifty-four million, one hundred five thousand, five hundred thirty-six".