10678132600 has 144 divisors (see below), whose sum is σ = 25720619400. Its totient is φ = 4122094080.

The previous prime is 10678132583. The next prime is 10678132607. The reversal of 10678132600 is 623187601.

It is a super-2 number, since 2×10678132600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10678132607) 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, 46629286 + ... + 46629514.

Almost surely, 2^10678132600 is an apocalyptic number.

10678132600 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 10678132600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860309700).

10678132600 is an abundant number, since it is smaller than the sum of its proper divisors (15042486800).

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

10678132600 is a wasteful number, since it uses less digits than its factorization.

10678132600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 10678132600 in words is "ten billion, six hundred seventy-eight million, one hundred thirty-two thousand, six hundred".