10002105456 has 40 divisors (see below), whose sum is σ = 29530026624. Its totient is φ = 2857744320.

The previous prime is 10002105383. The next prime is 10002105461. The reversal of 10002105456 is 65450120001.

It is a super-2 number, since 2×10002105456² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14883750 + ... + 14884421.

Almost surely, 2^10002105456 is an apocalyptic number.

10002105456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10002105456 is an abundant number, since it is smaller than the sum of its proper divisors (19527921168).

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

10002105456 is a wasteful number, since it uses less digits than its factorization.

10002105456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29768189 (or 29768183 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10002105456 its reverse (65450120001), we get a palindrome (75452225457).

The spelling of 10002105456 in words is "ten billion, two million, one hundred five thousand, four hundred fifty-six".