100506100 has 36 divisors (see below), whose sum is σ = 219124864. Its totient is φ = 40013280.

The previous prime is 100506089. The next prime is 100506103. The reversal of 100506100 is 1605001.

It is a super-2 number, since 2×100506100² = 20202952274420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100506103) 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, 20047 + ... + 24553.

Almost surely, 2^100506100 is an apocalyptic number.

100506100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100506100 is an abundant number, since it is smaller than the sum of its proper divisors (118618764).

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

100506100 is a wasteful number, since it uses less digits than its factorization.

100506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 100506100 is about 10025.2730636128. The cubic root of 100506100 is about 464.9406021174.

The spelling of 100506100 in words is "one hundred million, five hundred six thousand, one hundred".