101964054528 has 500 divisors, whose sum is σ = 355384087575. Its totient is φ = 29132587008.

The previous prime is 101964054499. The next prime is 101964054559. The reversal of 101964054528 is 825450469101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

101964054528 is a `hidden beast` number, since 1 + 0 + 19 + 64 + 0 + 54 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50982027264 + 50982027264 = 225792^2 + 225792^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=225792.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 14566293501 + ... + 14566293507.

Almost surely, 2^101964054528 is an apocalyptic number.

101964054528 is a gapful number since it is divisible by the number (18) 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 101964054528

101964054528 is an abundant number, since it is smaller than the sum of its proper divisors (253420033047).

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

101964054528 is an frugal number, since it uses more digits than its factorization.

101964054528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 101964054528 in words is "one hundred one billion, nine hundred sixty-four million, fifty-four thousand, five hundred twenty-eight".