101608848 has 120 divisors (see below), whose sum is σ = 323818560. Its totient is φ = 29441280.

The previous prime is 101608831. The next prime is 101608853. The reversal of 101608848 is 848806101.

101608848 is a `hidden beast` number, since 1 + 0 + 1 + 608 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35038 + ... + 37826.

It is an arithmetic number, because the mean of its divisors is an integer number (2698488).

Almost surely, 2^101608848 is an apocalyptic number.

101608848 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 101608848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161909280).

101608848 is an abundant number, since it is smaller than the sum of its proper divisors (222209712).

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

101608848 is a wasteful number, since it uses less digits than its factorization.

101608848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 101608848 is about 10080.1214278400. The cubic root of 101608848 is about 466.6348558815.

The spelling of 101608848 in words is "one hundred one million, six hundred eight thousand, eight hundred forty-eight".