10676100 has 72 divisors (see below), whose sum is σ = 32532640. Its totient is φ = 2695680.

The previous prime is 10676093. The next prime is 10676101. The reversal of 10676100 is 167601.

It is a super-2 number, since 2×10676100² = 227958222420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10676101) 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, 4764 + ... + 6636.

Almost surely, 2^10676100 is an apocalyptic number.

10676100 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 10676100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16266320).

10676100 is an abundant number, since it is smaller than the sum of its proper divisors (21856540).

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

10676100 is a wasteful number, since it uses less digits than its factorization.

10676100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10676100 is about 3267.4301828807. The cubic root of 10676100 is about 220.1933561819.

The spelling of 10676100 in words is "ten million, six hundred seventy-six thousand, one hundred".