100386100 has 36 divisors (see below), whose sum is σ = 221103904. Its totient is φ = 39552480.

The previous prime is 100386089. The next prime is 100386103. The reversal of 100386100 is 1683001.

It is a super-3 number, since 3×100386100³ (a number of 25 digits) contains 333 as substring.

100386100 is a modest number, since divided by 386100 gives 100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100386103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792 + ... + 14191.

Almost surely, 2^100386100 is an apocalyptic number.

100386100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100386100 is an abundant number, since it is smaller than the sum of its proper divisors (120717804).

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

100386100 is a wasteful number, since it uses less digits than its factorization.

100386100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15064 (or 15057 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 100386100 is about 10019.2864017354. The cubic root of 100386100 is about 464.7554886707.

The spelling of 100386100 in words is "one hundred million, three hundred eighty-six thousand, one hundred".