10105206072 has 64 divisors (see below), whose sum is σ = 27369377280. Its totient is φ = 3090659712.

The previous prime is 10105206071. The next prime is 10105206077. The reversal of 10105206072 is 27060250101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105206071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44868 + ... + 149075.

It is an arithmetic number, because the mean of its divisors is an integer number (427646520).

Almost surely, 2^10105206072 is an apocalyptic number.

10105206072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10105206072 is an abundant number, since it is smaller than the sum of its proper divisors (17264171208).

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

10105206072 is a wasteful number, since it uses less digits than its factorization.

10105206072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194132 (or 194128 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 10105206072 its reverse (27060250101), we get a palindrome (37165456173).

The spelling of 10105206072 in words is "ten billion, one hundred five million, two hundred six thousand, seventy-two".