101648640 has 144 divisors (see below), whose sum is σ = 329067648. Its totient is φ = 26738688.

The previous prime is 101648633. The next prime is 101648653. The reversal of 101648640 is 46846101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101648598 and 101648607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395392 + ... + 395648.

It is an arithmetic number, because the mean of its divisors is an integer number (2285192).

Almost surely, 2^101648640 is an apocalyptic number.

101648640 is a gapful number since it is divisible by the number (10) 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 101648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164533824).

101648640 is an abundant number, since it is smaller than the sum of its proper divisors (227419008).

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

101648640 is a wasteful number, since it uses less digits than its factorization.

101648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 101648640 is about 10082.0950203814. The cubic root of 101648640 is about 466.6957623582.

The spelling of 101648640 in words is "one hundred one million, six hundred forty-eight thousand, six hundred forty".