100537416 has 256 divisors, whose sum is σ = 345600000. Its totient is φ = 27010368.

The previous prime is 100537363. The next prime is 100537421. The reversal of 100537416 is 614735001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100537416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1703995 + ... + 1704053.

It is an arithmetic number, because the mean of its divisors is an integer number (1350000).

Almost surely, 2^100537416 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 100537416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800000).

100537416 is an abundant number, since it is smaller than the sum of its proper divisors (245062584).

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

100537416 is a wasteful number, since it uses less digits than its factorization.

100537416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 100537416 is about 10026.8347946897. The cubic root of 100537416 is about 464.9888863109.

The spelling of 100537416 in words is "one hundred million, five hundred thirty-seven thousand, four hundred sixteen".