10300680 has 192 divisors, whose sum is σ = 37739520. Its totient is φ = 2419200.

The previous prime is 10300673. The next prime is 10300681. The reversal of 10300680 is 8600301.

It is a super-2 number, since 2×10300680² = 212208016924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10300681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145045 + ... + 145115.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^10300680 is an apocalyptic number.

10300680 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 10300680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

10300680 is an abundant number, since it is smaller than the sum of its proper divisors (27438840).

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

10300680 is a wasteful number, since it uses less digits than its factorization.

10300680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10300680 is about 3209.4672455098. The cubic root of 10300680 is about 217.5814993823.

Adding to 10300680 its reverse (8600301), we get a palindrome (18900981).

The spelling of 10300680 in words is "ten million, three hundred thousand, six hundred eighty".