100537116 has 48 divisors (see below), whose sum is σ = 249207840. Its totient is φ = 31436800.

The previous prime is 100537111. The next prime is 100537141. The reversal of 100537116 is 611735001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100537111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81190 + ... + 82418.

It is an arithmetic number, because the mean of its divisors is an integer number (5191830).

Almost surely, 2^100537116 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 100537116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124603920).

100537116 is an abundant number, since it is smaller than the sum of its proper divisors (148670724).

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

100537116 is a wasteful number, since it uses less digits than its factorization.

100537116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 100537116 is about 10026.8198348230. The cubic root of 100537116 is about 464.9884238071.

The spelling of 100537116 in words is "one hundred million, five hundred thirty-seven thousand, one hundred sixteen".