101005254064 has 40 divisors (see below), whose sum is σ = 229910566032. Its totient is φ = 42379825920.

The previous prime is 101005254037. The next prime is 101005254107. The reversal of 101005254064 is 460452500101.

101005254064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101005254064² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22070539 + ... + 22075114.

Almost surely, 2^101005254064 is an apocalyptic number.

It is an amenable number.

101005254064 is an abundant number, since it is smaller than the sum of its proper divisors (128905311968).

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

101005254064 is a wasteful number, since it uses less digits than its factorization.

101005254064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44145685 (or 44145679 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 101005254064 its reverse (460452500101), we get a palindrome (561457754165).

The spelling of 101005254064 in words is "one hundred one billion, five million, two hundred fifty-four thousand, sixty-four".