96752106 has 48 divisors (see below), whose sum is σ = 230836320. Its totient is φ = 29043360.

The previous prime is 96752093. The next prime is 96752119. The reversal of 96752106 is 60125769.

It is an interprime number because it is at equal distance from previous prime (96752093) and next prime (96752119).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 19341 + ... + 23823.

It is an arithmetic number, because the mean of its divisors is an integer number (4809090).

Almost surely, 2^96752106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96752106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115418160).

96752106 is an abundant number, since it is smaller than the sum of its proper divisors (134084214).

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

96752106 is a wasteful number, since it uses less digits than its factorization.

96752106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 96752106 is about 9836.2648398668. The cubic root of 96752106 is about 459.0783468011.

It can be divided in two parts, 9675 and 2106, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 96752106 in words is "ninety-six million, seven hundred fifty-two thousand, one hundred six".