10750100 has 36 divisors (see below), whose sum is σ = 23490684. Its totient is φ = 4270080.

The previous prime is 10750099. The next prime is 10750127. The reversal of 10750100 is 105701.

It can be written as a sum of positive squares in 6 ways, for example, as 2650384 + 8099716 = 1628^2 + 2846^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19022 + ... + 19578.

It is an arithmetic number, because the mean of its divisors is an integer number (652519).

Almost surely, 2^10750100 is an apocalyptic number.

10750100 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 10750100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745342).

10750100 is an abundant number, since it is smaller than the sum of its proper divisors (12740584).

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

10750100 is a wasteful number, since it uses less digits than its factorization.

10750100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 757 counting only the distinct ones).

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

The square root of 10750100 is about 3278.7345119726. The cubic root of 10750100 is about 220.7009324618.

Adding to 10750100 its reverse (105701), we get a palindrome (10855801).

The spelling of 10750100 in words is "ten million, seven hundred fifty thousand, one hundred".