103414061700 has 108 divisors (see below), whose sum is σ = 343213072020. Its totient is φ = 25954897920.

The previous prime is 103414061689. The next prime is 103414061711. The reversal of 103414061700 is 7160414301.

It is a happy number.

103414061700 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 1 + 40 + 617 + 0 + 0 = 666.

103414061700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103414061689) and next prime (103414061711).

It can be written as a sum of positive squares in 6 ways, for example, as 9877179456 + 93536882244 = 99384^2 + 305838^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3364245 + ... + 3394844.

It is an arithmetic number, because the mean of its divisors is an integer number (3177898815).

Almost surely, 2^103414061700 is an apocalyptic number.

103414061700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103414061700 is an abundant number, since it is smaller than the sum of its proper divisors (239799010320).

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

103414061700 is a wasteful number, since it uses less digits than its factorization.

103414061700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759126 (or 6759116 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 103414061700 in words is "one hundred three billion, four hundred fourteen million, sixty-one thousand, seven hundred".