10705100 has 72 divisors (see below), whose sum is σ = 27269088. Its totient is φ = 3571200.

The previous prime is 10705069. The next prime is 10705103. The reversal of 10705100 is 150701.

It is a super-2 number, since 2×10705100² = 229198332020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28514 + ... + 28886.

Almost surely, 2^10705100 is an apocalyptic number.

10705100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10705100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13634544).

10705100 is an abundant number, since it is smaller than the sum of its proper divisors (16563988).

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

10705100 is a wasteful number, since it uses less digits than its factorization.

10705100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 10705100 is about 3271.8649116368. The cubic root of 10705100 is about 220.3925498386.

Adding to 10705100 its reverse (150701), we get a palindrome (10855801).

The spelling of 10705100 in words is "ten million, seven hundred five thousand, one hundred".