101593648 has 40 divisors (see below), whose sum is σ = 212830128. Its totient is φ = 46701312.

The previous prime is 101593643. The next prime is 101593651. The reversal of 101593648 is 846395101.

It is not an unprimeable number, because it can be changed into a prime (101593643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60111 + ... + 61777.

Almost surely, 2^101593648 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 101593648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106415064).

101593648 is an abundant number, since it is smaller than the sum of its proper divisors (111236480).

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

101593648 is a wasteful number, since it uses less digits than its factorization.

101593648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 101593648 is about 10079.3674404697. The cubic root of 101593648 is about 466.6115862429.

The spelling of 101593648 in words is "one hundred one million, five hundred ninety-three thousand, six hundred forty-eight".