101363248 has 80 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 40485888.

The previous prime is 101363243. The next prime is 101363263. The reversal of 101363248 is 842363101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (101363243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 264465 + ... + 264847.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^101363248 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 101363248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

101363248 is an abundant number, since it is smaller than the sum of its proper divisors (138621392).

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

101363248 is a wasteful number, since it uses less digits than its factorization.

101363248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 101363248 is about 10067.9316644483. The cubic root of 101363248 is about 466.2585829316.

It can be divided in two parts, 1013 and 63248, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 101363248 in words is "one hundred one million, three hundred sixty-three thousand, two hundred forty-eight".