2345678100 has 108 divisors (see below), whose sum is σ = 7366770684. Its totient is φ = 624291840.

The previous prime is 2345678089. The next prime is 2345678131. The reversal of 2345678100 is 18765432.

It can be written as a sum of positive squares in 6 ways, for example, as 53758224 + 2291919876 = 7332^2 + 47874^2 .

It is a super-2 number, since 2×2345678100² = 11004411497639220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 517042 + ... + 521558.

Almost surely, 2^2345678100 is an apocalyptic number.

2345678100 is a gapful number since it is divisible by the number (20) 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 2345678100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683385342).

2345678100 is an abundant number, since it is smaller than the sum of its proper divisors (5021092584).

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

2345678100 is a wasteful number, since it uses less digits than its factorization.

2345678100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2345678100 is about 48432.2010649939. The cubic root of 2345678100 is about 1328.6873626594.

The spelling of 2345678100 in words is "two billion, three hundred forty-five million, six hundred seventy-eight thousand, one hundred".