10705890 has 64 divisors (see below), whose sum is σ = 28054656. Its totient is φ = 2598912.

The previous prime is 10705889. The next prime is 10705897. The reversal of 10705890 is 9850701.

It is a super-2 number, since 2×10705890² = 229232161384200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10705897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37689 + ... + 37971.

It is an arithmetic number, because the mean of its divisors is an integer number (438354).

Almost surely, 2^10705890 is an apocalyptic number.

10705890 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 10705890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14027328).

10705890 is an abundant number, since it is smaller than the sum of its proper divisors (17348766).

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

10705890 is a wasteful number, since it uses less digits than its factorization.

10705890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 10705890 is about 3271.9856356653. The cubic root of 10705890 is about 220.3979711123.

The spelling of 10705890 in words is "ten million, seven hundred five thousand, eight hundred ninety".