101352679488 has 336 divisors, whose sum is σ = 321658122240. Its totient is φ = 31548787200.

The previous prime is 101352679487. The next prime is 101352679511. The reversal of 101352679488 is 884976253101.

101352679488 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 526 + 79 + 48 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (101352679487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20977233 + ... + 20982063.

It is an arithmetic number, because the mean of its divisors is an integer number (957315840).

It is a 1-persistent number, because it is pandigital, but 2⋅101352679488 = 202705358976 is not.

Almost surely, 2^101352679488 is an apocalyptic number.

101352679488 is a gapful number since it is divisible by the number (18) 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 101352679488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160829061120).

101352679488 is an abundant number, since it is smaller than the sum of its proper divisors (220305442752).

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

101352679488 is an equidigital number, since it uses as much as digits as its factorization.

101352679488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 101352679488 in words is "one hundred one billion, three hundred fifty-two million, six hundred seventy-nine thousand, four hundred eighty-eight".