95755104 has 72 divisors (see below), whose sum is σ = 273257712. Its totient is φ = 31806720.

The previous prime is 95755103. The next prime is 95755139. The reversal of 95755104 is 40155759.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95755103) 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 11 ways as a sum of consecutive naturals, for example, 144534 + ... + 145194.

It is an arithmetic number, because the mean of its divisors is an integer number (3795246).

Almost surely, 2^95755104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95755104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136628856).

95755104 is an abundant number, since it is smaller than the sum of its proper divisors (177502608).

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

95755104 is a wasteful number, since it uses less digits than its factorization.

95755104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 95755104 is about 9785.4536941319. The cubic root of 95755104 is about 457.4960099983.

It can be divided in two parts, 95755 and 104, that added together give a palindrome (95859).

The spelling of 95755104 in words is "ninety-five million, seven hundred fifty-five thousand, one hundred four".