100613088 has 72 divisors (see below), whose sum is σ = 292245408. Its totient is φ = 32819712.

The previous prime is 100613087. The next prime is 100613129. The reversal of 100613088 is 880316001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100613087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9820 + ... + 17252.

It is an arithmetic number, because the mean of its divisors is an integer number (4058964).

Almost surely, 2^100613088 is an apocalyptic number.

100613088 is a gapful number since it is divisible by the number (18) 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 100613088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146122704).

100613088 is an abundant number, since it is smaller than the sum of its proper divisors (191632320).

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

100613088 is a wasteful number, since it uses less digits than its factorization.

100613088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7496 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100613088 is about 10030.6075588670. The cubic root of 100613088 is about 465.1055188909.

Adding to 100613088 its reverse (880316001), we get a palindrome (980929089).

The spelling of 100613088 in words is "one hundred million, six hundred thirteen thousand, eighty-eight".