100682010 has 96 divisors (see below), whose sum is σ = 307577088. Its totient is φ = 22527360.

The previous prime is 100681993. The next prime is 100682011. The reversal of 100682010 is 10286001.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100682011) 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, 8959 + ... + 16781.

It is an arithmetic number, because the mean of its divisors is an integer number (3203928).

Almost surely, 2^100682010 is an apocalyptic number.

100682010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100682010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153788544).

100682010 is an abundant number, since it is smaller than the sum of its proper divisors (206895078).

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

100682010 is a wasteful number, since it uses less digits than its factorization.

100682010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 7857 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100682010 is about 10034.0425552217. The cubic root of 100682010 is about 465.2116968787.

The spelling of 100682010 in words is "one hundred million, six hundred eighty-two thousand, ten".