101507648 has 56 divisors (see below), whose sum is σ = 229331520. Its totient is φ = 44126720.

The previous prime is 101507647. The next prime is 101507683. The reversal of 101507648 is 846705101.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (101507641) 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, 13058 + ... + 19326.

Almost surely, 2^101507648 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 101507648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114665760).

101507648 is an abundant number, since it is smaller than the sum of its proper divisors (127823872).

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

101507648 is a wasteful number, since it uses less digits than its factorization.

101507648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 101507648 is about 10075.1003965221. The cubic root of 101507648 is about 466.4798853423.

The spelling of 101507648 in words is "one hundred one million, five hundred seven thousand, six hundred forty-eight".