10105956840 has 64 divisors (see below), whose sum is σ = 34648997760. Its totient is φ = 2309932800.

The previous prime is 10105956823. The next prime is 10105956857. The reversal of 10105956840 is 4865950101.

10105956840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10105956823) and next prime (10105956857).

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 15 ways as a sum of consecutive naturals, for example, 6014611 + ... + 6016290.

It is an arithmetic number, because the mean of its divisors is an integer number (541390590).

Almost surely, 2^10105956840 is an apocalyptic number.

10105956840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105956840 is an abundant number, since it is smaller than the sum of its proper divisors (24543040920).

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

10105956840 is a wasteful number, since it uses less digits than its factorization.

10105956840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12030922 (or 12030918 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 10105956840 in words is "ten billion, one hundred five million, nine hundred fifty-six thousand, eight hundred forty".