101618048 has 64 divisors (see below), whose sum is σ = 241470720. Its totient is φ = 41648640.

The previous prime is 101617973. The next prime is 101618051. The reversal of 101618048 is 840816101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 101618048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18143 + ... + 23073.

It is an arithmetic number, because the mean of its divisors is an integer number (3772980).

Almost surely, 2^101618048 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 101618048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120735360).

101618048 is an abundant number, since it is smaller than the sum of its proper divisors (139852672).

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

101618048 is an equidigital number, since it uses as much as digits as its factorization.

101618048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 101618048 is about 10080.5777612198. The cubic root of 101618048 is about 466.6489390091.

The spelling of 101618048 in words is "one hundred one million, six hundred eighteen thousand, forty-eight".