101065535424 has 168 divisors, whose sum is σ = 332203653600. Its totient is φ = 28776978432.

The previous prime is 101065535407. The next prime is 101065535507. The reversal of 101065535424 is 424535560101.

101065535424 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 65 + 53 + 542 + 4 = 666.

101065535424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138602 + ... + 1224150.

It is an arithmetic number, because the mean of its divisors is an integer number (1977402700).

Almost surely, 2^101065535424 is an apocalyptic number.

101065535424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101065535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166101826800).

101065535424 is an abundant number, since it is smaller than the sum of its proper divisors (231138118176).

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

101065535424 is a wasteful number, since it uses less digits than its factorization.

101065535424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85867 (or 85854 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 101065535424 in words is "one hundred one billion, sixty-five million, five hundred thirty-five thousand, four hundred twenty-four".