100097016 has 128 divisors (see below), whose sum is σ = 278476800. Its totient is φ = 29859840.

The previous prime is 100096999. The next prime is 100097017. The reversal of 100097016 is 610790001.

It is a super-2 number, since 2×100097016² = 20038825224208512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100097017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031880 + ... + 1031976.

It is an arithmetic number, because the mean of its divisors is an integer number (2175600).

Almost surely, 2^100097016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100097016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139238400).

100097016 is an abundant number, since it is smaller than the sum of its proper divisors (178379784).

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

100097016 is a wasteful number, since it uses less digits than its factorization.

100097016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 100097016 is about 10004.8496240573. The cubic root of 100097016 is about 464.3089376403.

The spelling of 100097016 in words is "one hundred million, ninety-seven thousand, sixteen".