101640372288 has 448 divisors, whose sum is σ = 339873945600. Its totient is φ = 26637133824.

The previous prime is 101640372287. The next prime is 101640372307. The reversal of 101640372288 is 882273046101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (101640372287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194340795 + ... + 194341317.

It is an arithmetic number, because the mean of its divisors is an integer number (758647200).

Almost surely, 2^101640372288 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 101640372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169936972800).

101640372288 is an abundant number, since it is smaller than the sum of its proper divisors (238233573312).

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

101640372288 is a wasteful number, since it uses less digits than its factorization.

101640372288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 101640372288 in words is "one hundred one billion, six hundred forty million, three hundred seventy-two thousand, two hundred eighty-eight".