107476992 has 288 divisors, whose sum is σ = 383292000. Its totient is φ = 28901376.

The previous prime is 107476991. The next prime is 107476997. The reversal of 107476992 is 299674701.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107476991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6322168 + ... + 6322184.

It is an arithmetic number, because the mean of its divisors is an integer number (1330875).

Almost surely, 2^107476992 is an apocalyptic number.

107476992 is a gapful number since it is divisible by the number (12) 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 107476992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191646000).

107476992 is an abundant number, since it is smaller than the sum of its proper divisors (275815008).

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

107476992 is an equidigital number, since it uses as much as digits as its factorization.

107476992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 107476992 is about 10367.1110730039. Note that the first 3 decimals coincide. The cubic root of 107476992 is about 475.4503459314.

The spelling of 107476992 in words is "one hundred seven million, four hundred seventy-six thousand, nine hundred ninety-two".