107472096 has 168 divisors, whose sum is σ = 337133664. Its totient is φ = 33592320.

The previous prime is 107472091. The next prime is 107472097. The reversal of 107472096 is 690274701.

It is a happy number.

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 107472096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107472091) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 396441 + ... + 396711.

It is an arithmetic number, because the mean of its divisors is an integer number (2006748).

Almost surely, 2^107472096 is an apocalyptic number.

107472096 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 107472096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168566832).

107472096 is an abundant number, since it is smaller than the sum of its proper divisors (229661568).

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

107472096 is an equidigital number, since it uses as much as digits as its factorization.

107472096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 107472096 is about 10366.8749389582. The cubic root of 107472096 is about 475.4431262769.

The spelling of 107472096 in words is "one hundred seven million, four hundred seventy-two thousand, ninety-six".