10217007054 has 144 divisors (see below), whose sum is σ = 24210272736. Its totient is φ = 3106920960.

The previous prime is 10217007041. The next prime is 10217007067. The reversal of 10217007054 is 45070071201.

It is an interprime number because it is at equal distance from previous prime (10217007041) and next prime (10217007067).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 36884364 + ... + 36884640.

It is an arithmetic number, because the mean of its divisors is an integer number (168126894).

Almost surely, 2^10217007054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10217007054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12105136368).

10217007054 is an abundant number, since it is smaller than the sum of its proper divisors (13993265682).

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

10217007054 is a wasteful number, since it uses less digits than its factorization.

10217007054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 10217007054 its reverse (45070071201), we get a palindrome (55287078255).

The spelling of 10217007054 in words is "ten billion, two hundred seventeen million, seven thousand, fifty-four".