101634400672 has 96 divisors (see below), whose sum is σ = 235077583104. Its totient is φ = 42355353600.

The previous prime is 101634400667. The next prime is 101634400711. The reversal of 101634400672 is 276004436101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117222 + ... + 1204762.

It is an arithmetic number, because the mean of its divisors is an integer number (2448724824).

Almost surely, 2^101634400672 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 101634400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117538791552).

101634400672 is an abundant number, since it is smaller than the sum of its proper divisors (133443182432).

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

101634400672 is an equidigital number, since it uses as much as digits as its factorization.

101634400672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87702 (or 87694 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

Adding to 101634400672 its reverse (276004436101), we get a palindrome (377638836773).

The spelling of 101634400672 in words is "one hundred one billion, six hundred thirty-four million, four hundred thousand, six hundred seventy-two".