100006100 has 36 divisors (see below), whose sum is σ = 219777600. Its totient is φ = 39492960.

The previous prime is 100006097. The next prime is 100006103. The reversal of 100006100 is 1600001.

It is an interprime number because it is at equal distance from previous prime (100006097) and next prime (100006103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100006103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1571 + ... + 14229.

Almost surely, 2^100006100 is an apocalyptic number.

100006100 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 100006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109888800).

100006100 is an abundant number, since it is smaller than the sum of its proper divisors (119771500).

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

100006100 is a wasteful number, since it uses less digits than its factorization.

100006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12752 (or 12745 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100006100 is about 10000.3049953489. The cubic root of 100006100 is about 464.1683210667.

Adding to 100006100 its reverse (1600001), we get a palindrome (101606101).

The spelling of 100006100 in words is "one hundred million, six thousand, one hundred".