101655496080 has 240 divisors, whose sum is σ = 353733185520. Its totient is φ = 26141294592.

The previous prime is 101655496067. The next prime is 101655496091. The reversal of 101655496080 is 80694556101.

101655496080 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 554 + 96 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42458256 + 101613037824 = 6516^2 + 318768^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2993436 + ... + 3027204.

It is an arithmetic number, because the mean of its divisors is an integer number (1473888273).

Almost surely, 2^101655496080 is an apocalyptic number.

101655496080 is a gapful number since it is divisible by the number (10) 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 101655496080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176866592760).

101655496080 is an abundant number, since it is smaller than the sum of its proper divisors (252077689440).

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

101655496080 is a wasteful number, since it uses less digits than its factorization.

101655496080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33938 (or 33929 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 101655496080 in words is "one hundred one billion, six hundred fifty-five million, four hundred ninety-six thousand, eighty".