10054652634 has 120 divisors (see below), whose sum is σ = 24508315260. Its totient is φ = 3079544832.

The previous prime is 10054652609. The next prime is 10054652639. The reversal of 10054652634 is 43625645001.

10054652634 is a `hidden beast` number, since 1 + 0 + 0 + 546 + 52 + 63 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2011253409 + 8043399225 = 44847^2 + 89685^2 .

It is not an unprimeable number, because it can be changed into a prime (10054652639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7035432 + ... + 7036860.

Almost surely, 2^10054652634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10054652634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254157630).

10054652634 is an abundant number, since it is smaller than the sum of its proper divisors (14453662626).

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

10054652634 is a wasteful number, since it uses less digits than its factorization.

10054652634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10054652634 in words is "ten billion, fifty-four million, six hundred fifty-two thousand, six hundred thirty-four".