103598040 has 256 divisors, whose sum is σ = 391910400. Its totient is φ = 21325824.

The previous prime is 103598029. The next prime is 103598059. The reversal of 103598040 is 40895301.

It is a super-3 number, since 3×103598040³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103597989 and 103598007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578671 + ... + 578849.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^103598040 is an apocalyptic number.

103598040 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 103598040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

103598040 is an abundant number, since it is smaller than the sum of its proper divisors (288312360).

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

103598040 is a wasteful number, since it uses less digits than its factorization.

103598040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 103598040 is about 10178.3122373014. The cubic root of 103598040 is about 469.6602947422.

The spelling of 103598040 in words is "one hundred three million, five hundred ninety-eight thousand, forty".