101424302976 has 64 divisors (see below), whose sum is σ = 269875806480. Its totient is φ = 33749434368.

The previous prime is 101424302957. The next prime is 101424302977. The reversal of 101424302976 is 679203424101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101424302977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7311 + ... + 450446.

Almost surely, 2^101424302976 is an apocalyptic number.

101424302976 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 101424302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134937903240).

101424302976 is an abundant number, since it is smaller than the sum of its proper divisors (168451503504).

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

101424302976 is an equidigital number, since it uses as much as digits as its factorization.

101424302976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458351 (or 458339 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 101424302976 in words is "one hundred one billion, four hundred twenty-four million, three hundred two thousand, nine hundred seventy-six".