103398411840 has 224 divisors, whose sum is σ = 358815826944. Its totient is φ = 25113722880.

The previous prime is 103398411839. The next prime is 103398411841. The reversal of 103398411840 is 48114893301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103398411839) and next prime (103398411841).

It is a junction number, because it is equal to n+sod(n) for n = 103398411792 and 103398411801.

It is not an unprimeable number, because it can be changed into a prime (103398411841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403732 + ... + 608108.

Almost surely, 2^103398411840 is an apocalyptic number.

103398411840 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 103398411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179407913472).

103398411840 is an abundant number, since it is smaller than the sum of its proper divisors (255417415104).

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

103398411840 is a wasteful number, since it uses less digits than its factorization.

103398411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204445 (or 204435 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 103398411840 in words is "one hundred three billion, three hundred ninety-eight million, four hundred eleven thousand, eight hundred forty".