101648040 has 128 divisors (see below), whose sum is σ = 342800640. Its totient is φ = 23924736.

The previous prime is 101648033. The next prime is 101648051. The reversal of 101648040 is 40846101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101648040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34464 + ... + 37296.

It is an arithmetic number, because the mean of its divisors is an integer number (2678130).

Almost surely, 2^101648040 is an apocalyptic number.

101648040 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 101648040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171400320).

101648040 is an abundant number, since it is smaller than the sum of its proper divisors (241152600).

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

101648040 is a wasteful number, since it uses less digits than its factorization.

101648040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 101648040 is about 10082.0652646172. The cubic root of 101648040 is about 466.6948441036.

The spelling of 101648040 in words is "one hundred one million, six hundred forty-eight thousand, forty".