107201376 has 72 divisors (see below), whose sum is σ = 309090600. Its totient is φ = 35237376.

The previous prime is 107201357. The next prime is 107201377. The reversal of 107201376 is 673102701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×107201376² = 22984270032586752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107201377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18475 + ... + 23573.

It is an arithmetic number, because the mean of its divisors is an integer number (4292925).

Almost surely, 2^107201376 is an apocalyptic number.

107201376 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 107201376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154545300).

107201376 is an abundant number, since it is smaller than the sum of its proper divisors (201889224).

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

107201376 is a wasteful number, since it uses less digits than its factorization.

107201376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 107201376 is about 10353.8097336198. The cubic root of 107201376 is about 475.0435801197.

Adding to 107201376 its sum of digits (27), we get a triangular number (107201403 = T₁₄₆₄₂).

The spelling of 107201376 in words is "one hundred seven million, two hundred one thousand, three hundred seventy-six".