101789248 has 56 divisors (see below), whose sum is σ = 221796864. Its totient is φ = 45964800.

The previous prime is 101789243. The next prime is 101789269. The reversal of 101789248 is 842987101.

It is a happy number.

It is a super-2 number, since 2×101789248² = 20722102016811008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101789248.

It is not an unprimeable number, because it can be changed into a prime (101789243) 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, 134086 + ... + 134842.

Almost surely, 2^101789248 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 101789248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110898432).

101789248 is an abundant number, since it is smaller than the sum of its proper divisors (120007616).

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

101789248 is a wasteful number, since it uses less digits than its factorization.

101789248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 101789248 is about 10089.0657644799. The cubic root of 101789248 is about 466.9108527048.

The spelling of 101789248 in words is "one hundred one million, seven hundred eighty-nine thousand, two hundred forty-eight".