103400590704 has 120 divisors (see below), whose sum is σ = 272745601200. Its totient is φ = 33754116096.

The previous prime is 103400590663. The next prime is 103400590729. The reversal of 103400590704 is 407095004301.

It is a super-2 number, since 2×103400590704² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 38111652 + ... + 38114364.

It is an arithmetic number, because the mean of its divisors is an integer number (2272880010).

Almost surely, 2^103400590704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103400590704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136372800600).

103400590704 is an abundant number, since it is smaller than the sum of its proper divisors (169345010496).

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

103400590704 is a wasteful number, since it uses less digits than its factorization.

103400590704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 103400590704 in words is "one hundred three billion, four hundred million, five hundred ninety thousand, seven hundred four".