100048100 has 72 divisors (see below), whose sum is σ = 226860480. Its totient is φ = 38263680.

The previous prime is 100048087. The next prime is 100048127. The reversal of 100048100 is 1840001.

It is a happy number.

It is a super-4 number, since 4×100048100⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

100048100 is a modest number, since divided by 48100 gives 100 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227681 + ... + 228119.

It is an arithmetic number, because the mean of its divisors is an integer number (3150840).

Almost surely, 2^100048100 is an apocalyptic number.

100048100 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 100048100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

100048100 is an abundant number, since it is smaller than the sum of its proper divisors (126812380).

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

100048100 is a wasteful number, since it uses less digits than its factorization.

100048100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 100048100 is about 10002.4047108683. The cubic root of 100048100 is about 464.2332915734.

Adding to 100048100 its reverse (1840001), we get a palindrome (101888101).

The spelling of 100048100 in words is "one hundred million, forty-eight thousand, one hundred".