107420100 has 72 divisors (see below), whose sum is σ = 312459168. Its totient is φ = 28492800.

The previous prime is 107420099. The next prime is 107420101. The reversal of 107420100 is 1024701.

It is an interprime number because it is at equal distance from previous prime (107420099) and next prime (107420101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 107420100.

It is not an unprimeable number, because it can be changed into a prime (107420101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62452 + ... + 64148.

Almost surely, 2^107420100 is an apocalyptic number.

107420100 is a gapful number since it is divisible by the number (10) 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 107420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156229584).

107420100 is an abundant number, since it is smaller than the sum of its proper divisors (205039068).

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

107420100 is a wasteful number, since it uses less digits than its factorization.

107420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 107420100 is about 10364.3668402850. The cubic root of 107420100 is about 475.3664393056.

Adding to 107420100 its reverse (1024701), we get a palindrome (108444801).

The spelling of 107420100 in words is "one hundred seven million, four hundred twenty thousand, one hundred".