107289124098 has 64 divisors (see below), whose sum is σ = 241399775232. Its totient is φ = 31541590080.

The previous prime is 107289124093. The next prime is 107289124123. The reversal of 107289124098 is 890421982701.

It is a happy number.

107289124098 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107289124098² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 107289124098.

It is not an unprimeable number, because it can be changed into a prime (107289124093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1601511 + ... + 1667157.

It is an arithmetic number, because the mean of its divisors is an integer number (3771871488).

Almost surely, 2^107289124098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107289124098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120699887616).

107289124098 is an abundant number, since it is smaller than the sum of its proper divisors (134110651134).

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

107289124098 is a wasteful number, since it uses less digits than its factorization.

107289124098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66599.

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 107289124098 in words is "one hundred seven billion, two hundred eighty-nine million, one hundred twenty-four thousand, ninety-eight".