107640192 has 128 divisors (see below), whose sum is σ = 330480000. Its totient is φ = 30679040.

The previous prime is 107640167. The next prime is 107640193. The reversal of 107640192 is 291046701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107640193) 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, 71059 + ... + 72557.

It is an arithmetic number, because the mean of its divisors is an integer number (2581875).

Almost surely, 2^107640192 is an apocalyptic number.

107640192 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 107640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165240000).

107640192 is an abundant number, since it is smaller than the sum of its proper divisors (222839808).

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

107640192 is a wasteful number, since it uses less digits than its factorization.

107640192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 107640192 is about 10374.9791325091. The cubic root of 107640192 is about 475.6908757223.

Adding to 107640192 its reverse (291046701), we get a palindrome (398686893).

The spelling of 107640192 in words is "one hundred seven million, six hundred forty thousand, one hundred ninety-two".