101495842560 has 2304 divisors, whose sum is σ = 483181977600. Its totient is φ = 19619905536.

The previous prime is 101495842529. The next prime is 101495842627. The reversal of 101495842560 is 65248594101.

101495842560 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 9 + 5 + 84 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2743130862 + ... + 2743130898.

It is an arithmetic number, because the mean of its divisors is an integer number (209714400).

Almost surely, 2^101495842560 is an apocalyptic number.

101495842560 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 101495842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241590988800).

101495842560 is an abundant number, since it is smaller than the sum of its proper divisors (381686135040).

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

101495842560 is a wasteful number, since it uses less digits than its factorization.

101495842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

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

The spelling of 101495842560 in words is "one hundred one billion, four hundred ninety-five million, eight hundred forty-two thousand, five hundred sixty".