100613616 has 60 divisors (see below), whose sum is σ = 276145272. Its totient is φ = 31560704.

The previous prime is 100613567. The next prime is 100613629. The reversal of 100613616 is 616316001.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10246 + ... + 17498.

Almost surely, 2^100613616 is an apocalyptic number.

100613616 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 100613616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138072636).

100613616 is an abundant number, since it is smaller than the sum of its proper divisors (175531656).

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

100613616 is a wasteful number, since it uses less digits than its factorization.

100613616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7298 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 100613616 is about 10030.6338782751. The cubic root of 100613616 is about 465.1063324871.

Adding to 100613616 its reverse (616316001), we get a palindrome (716929617).

The spelling of 100613616 in words is "one hundred million, six hundred thirteen thousand, six hundred sixteen".