104761296 has 80 divisors (see below), whose sum is σ = 302123520. Its totient is φ = 34755840.

The previous prime is 104761291. The next prime is 104761333. The reversal of 104761296 is 692167401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104761296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104761291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120961 + ... + 121823.

It is an arithmetic number, because the mean of its divisors is an integer number (3776544).

Almost surely, 2^104761296 is an apocalyptic number.

104761296 is a gapful number since it is divisible by the number (16) 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 104761296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151061760).

104761296 is an abundant number, since it is smaller than the sum of its proper divisors (197362224).

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

104761296 is a wasteful number, since it uses less digits than its factorization.

104761296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 104761296 is about 10235.2965760646. The cubic root of 104761296 is about 471.4116244203.

The spelling of 104761296 in words is "one hundred four million, seven hundred sixty-one thousand, two hundred ninety-six".