101248896 has 96 divisors (see below), whose sum is σ = 312909480. Its totient is φ = 28922880.

The previous prime is 101248877. The next prime is 101248919. The reversal of 101248896 is 698842101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 16126 + ... + 21506.

Almost surely, 2^101248896 is an apocalyptic number.

101248896 is a gapful number since it is divisible by the number (16) 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 101248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156454740).

101248896 is an abundant number, since it is smaller than the sum of its proper divisors (211660584).

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

101248896 is an equidigital number, since it uses as much as digits as its factorization.

101248896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 101248896 is about 10062.2510403985. The cubic root of 101248896 is about 466.0831818698.

The spelling of 101248896 in words is "one hundred one million, two hundred forty-eight thousand, eight hundred ninety-six".