101638540864 has 63 divisors (see below), whose sum is σ = 234659011377. Its totient is φ = 43551723264.

The previous prime is 101638540831. The next prime is 101638540889. The reversal of 101638540864 is 468045836101.

The square root of 101638540864 is 318808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12481358400 + 89157182464 = 111720^2 + 298592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17850402 + ... + 17856094.

Almost surely, 2^101638540864 is an apocalyptic number.

101638540864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101638540864 is the 318808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101638540864

101638540864 is an abundant number, since it is smaller than the sum of its proper divisors (133020470513).

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

101638540864 is an frugal number, since it uses more digits than its factorization.

101638540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11412 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 101638540864 in words is "one hundred one billion, six hundred thirty-eight million, five hundred forty thousand, eight hundred sixty-four".