10705950 has 72 divisors (see below), whose sum is σ = 29586648. Its totient is φ = 2773440.

The previous prime is 10705939. The next prime is 10705951. The reversal of 10705950 is 5950701.

10705950 is a `hidden beast` number, since 1 + 0 + 70 + 595 + 0 = 666.

10705950 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10705950² = 229234730805000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705951) 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, 16329 + ... + 16971.

Almost surely, 2^10705950 is an apocalyptic number.

10705950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10705950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793324).

10705950 is an abundant number, since it is smaller than the sum of its proper divisors (18880698).

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

10705950 is a wasteful number, since it uses less digits than its factorization.

10705950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 10705950 is about 3271.9948043969. The cubic root of 10705950 is about 220.3983828437.

The spelling of 10705950 in words is "ten million, seven hundred five thousand, nine hundred fifty".