95100768 has 216 divisors, whose sum is σ = 329395248. Its totient is φ = 25901568.

The previous prime is 95100763. The next prime is 95100779. The reversal of 95100768 is 86700159.

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

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95100763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324430 + ... + 324722.

It is an arithmetic number, because the mean of its divisors is an integer number (1524978).

Almost surely, 2^95100768 is an apocalyptic number.

95100768 is a gapful number since it is divisible by the number (98) 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 95100768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697624).

95100768 is an abundant number, since it is smaller than the sum of its proper divisors (234294480).

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

95100768 is a wasteful number, since it uses less digits than its factorization.

95100768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 95100768 is about 9751.9622640779. The cubic root of 95100768 is about 456.4515379591.

The spelling of 95100768 in words is "ninety-five million, one hundred thousand, seven hundred sixty-eight".