101705041152 has 1008 divisors, whose sum is σ = 370823526528. Its totient is φ = 27411333120.

The previous prime is 101705041133. The next prime is 101705041159. The reversal of 101705041152 is 251140507101.

101705041152 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 0 + 504 + 1 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101705041159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 987427533 + ... + 987427635.

Almost surely, 2^101705041152 is an apocalyptic number.

101705041152 is a gapful number since it is divisible by the number (12) 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 101705041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185411763264).

101705041152 is an abundant number, since it is smaller than the sum of its proper divisors (269118485376).

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

101705041152 is a wasteful number, since it uses less digits than its factorization.

101705041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 101705041152 its reverse (251140507101), we get a palindrome (352845548253).

The spelling of 101705041152 in words is "one hundred one billion, seven hundred five million, forty-one thousand, one hundred fifty-two".