101520896 has 80 divisors (see below), whose sum is σ = 218316384. Its totient is φ = 47038464.

The previous prime is 101520871. The next prime is 101520899. The reversal of 101520896 is 698025101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101520899) 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, 435596 + ... + 435828.

Almost surely, 2^101520896 is an apocalyptic number.

101520896 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 101520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109158192).

101520896 is an abundant number, since it is smaller than the sum of its proper divisors (116795488).

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

101520896 is an equidigital number, since it uses as much as digits as its factorization.

101520896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 101520896 is about 10075.7578375028. The cubic root of 101520896 is about 466.5001782522.

Adding to 101520896 its reverse (698025101), we get a palindrome (799545997).

The spelling of 101520896 in words is "one hundred one million, five hundred twenty thousand, eight hundred ninety-six".