10105956 has 108 divisors (see below), whose sum is σ = 31557708. Its totient is φ = 2709504.

The previous prime is 10105937. The next prime is 10105957. The reversal of 10105956 is 65950101.

It can be written as a sum of positive squares in 2 ways, for example, as 5336100 + 4769856 = 2310^2 + 2184^2 .

It is not an unprimeable number, because it can be changed into a prime (10105957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29820 + ... + 30156.

It is an arithmetic number, because the mean of its divisors is an integer number (292201).

Almost surely, 2^10105956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15778854).

10105956 is an abundant number, since it is smaller than the sum of its proper divisors (21451752).

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

10105956 is a wasteful number, since it uses less digits than its factorization.

10105956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 10105956 is about 3178.9866309879. The cubic root of 10105956 is about 216.2017148591.

The spelling of 10105956 in words is "ten million, one hundred five thousand, nine hundred fifty-six".