100079616 has 192 divisors, whose sum is σ = 330220800. Its totient is φ = 26247168.

The previous prime is 100079557. The next prime is 100079659. The reversal of 100079616 is 616970001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559015 + ... + 559193.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^100079616 is an apocalyptic number.

100079616 is a gapful number since it is divisible by the number (16) 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 100079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

100079616 is an abundant number, since it is smaller than the sum of its proper divisors (230141184).

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

100079616 is a wasteful number, since it uses less digits than its factorization.

100079616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 100079616 is about 10003.9800079768. The cubic root of 100079616 is about 464.2820322638.

The spelling of 100079616 in words is "one hundred million, seventy-nine thousand, six hundred sixteen".