100155616 has 96 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 42746880.

The previous prime is 100155611. The next prime is 100155617. The reversal of 100155616 is 616551001.

It is a super-2 number, since 2×100155616² = 20062294832678912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100155611) by changing a digit.

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, 720475 + ... + 720613.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^100155616 is an apocalyptic number.

100155616 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 100155616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

100155616 is an abundant number, since it is smaller than the sum of its proper divisors (128458784).

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

100155616 is a wasteful number, since it uses less digits than its factorization.

100155616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 100155616 is about 10007.7777753106. Note that the first 5 decimals coincide. The cubic root of 100155616 is about 464.3995270737.

The spelling of 100155616 in words is "one hundred million, one hundred fifty-five thousand, six hundred sixteen".