101264187648 has 144 divisors (see below), whose sum is σ = 296418721536. Its totient is φ = 30495129600.

The previous prime is 101264187593. The next prime is 101264187649. The reversal of 101264187648 is 846781462101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 101264187597 and 101264187606.

It is not an unprimeable number, because it can be changed into a prime (101264187649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361348 + ... + 577148.

It is an arithmetic number, because the mean of its divisors is an integer number (2058463344).

Almost surely, 2^101264187648 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 101264187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148209360768).

101264187648 is an abundant number, since it is smaller than the sum of its proper divisors (195154533888).

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

101264187648 is a wasteful number, since it uses less digits than its factorization.

101264187648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215880 (or 215866 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 101264187648 in words is "one hundred one billion, two hundred sixty-four million, one hundred eighty-seven thousand, six hundred forty-eight".