107802114 has 64 divisors (see below), whose sum is σ = 254693376. Its totient is φ = 29781504.

The previous prime is 107802091. The next prime is 107802131. The reversal of 107802114 is 411208701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191197 + ... + 191759.

It is an arithmetic number, because the mean of its divisors is an integer number (3979584).

Almost surely, 2^107802114 is an apocalyptic number.

107802114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107802114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127346688).

107802114 is an abundant number, since it is smaller than the sum of its proper divisors (146891262).

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

107802114 is a wasteful number, since it uses less digits than its factorization.

107802114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 107802114 is about 10382.7796856141. The cubic root of 107802114 is about 475.9292817992.

The spelling of 107802114 in words is "one hundred seven million, eight hundred two thousand, one hundred fourteen".