100616096 has 96 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 39902976.

The previous prime is 100616083. The next prime is 100616137. The reversal of 100616096 is 690616001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199781 + ... + 200283.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^100616096 is an apocalyptic number.

100616096 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 100616096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

100616096 is an abundant number, since it is smaller than the sum of its proper divisors (143239264).

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

100616096 is a wasteful number, since it uses less digits than its factorization.

100616096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 100616096 is about 10030.7574988133. The cubic root of 100616096 is about 465.1101538858.

It can be divided in two parts, 1006 and 16096, that multiplied together give a square (16192576 = 4024²).

The spelling of 100616096 in words is "one hundred million, six hundred sixteen thousand, ninety-six".