101755134 has 48 divisors (see below), whose sum is σ = 239929872. Its totient is φ = 30979584.

The previous prime is 101755133. The next prime is 101755139. The reversal of 101755134 is 431557101.

101755134 is a `hidden beast` number, since 101 + 7 + 551 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101755098 and 101755107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101755133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20457 + ... + 24939.

It is an arithmetic number, because the mean of its divisors is an integer number (4998539).

Almost surely, 2^101755134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101755134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119964936).

101755134 is an abundant number, since it is smaller than the sum of its proper divisors (138174738).

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

101755134 is a wasteful number, since it uses less digits than its factorization.

101755134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 101755134 is about 10087.3749806379. The cubic root of 101755134 is about 466.8586861716.

The spelling of 101755134 in words is "one hundred one million, seven hundred fifty-five thousand, one hundred thirty-four".