10145552634 has 72 divisors (see below), whose sum is σ = 25668915168. Its totient is φ = 2836976400.

The previous prime is 10145552617. The next prime is 10145552657. The reversal of 10145552634 is 43625554101.

10145552634 is a `hidden beast` number, since 1 + 0 + 1 + 45 + 552 + 63 + 4 = 666.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 260109 + ... + 296559.

Almost surely, 2^10145552634 is an apocalyptic number.

10145552634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145552634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834457584).

10145552634 is an abundant number, since it is smaller than the sum of its proper divisors (15523362534).

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

10145552634 is a wasteful number, since it uses less digits than its factorization.

10145552634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36560 (or 36510 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10145552634 in words is "ten billion, one hundred forty-five million, five hundred fifty-two thousand, six hundred thirty-four".