100079800 has 48 divisors (see below), whose sum is σ = 233578800. Its totient is φ = 39878400.

The previous prime is 100079797. The next prime is 100079803. The reversal of 100079800 is 8970001.

It is an interprime number because it is at equal distance from previous prime (100079797) and next prime (100079803).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100079803) 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, 61396 + ... + 63004.

It is an arithmetic number, because the mean of its divisors is an integer number (4866225).

Almost surely, 2^100079800 is an apocalyptic number.

100079800 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 100079800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116789400).

100079800 is an abundant number, since it is smaller than the sum of its proper divisors (133499000).

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

100079800 is a wasteful number, since it uses less digits than its factorization.

100079800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 100079800 is about 10003.9892043124. The cubic root of 100079800 is about 464.2823167968.

The spelling of 100079800 in words is "one hundred million, seventy-nine thousand, eight hundred".