103190811840 has 280 divisors, whose sum is σ = 386389077360. Its totient is φ = 26069133312.

The previous prime is 103190811809. The next prime is 103190811887. The reversal of 103190811840 is 48118091301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103190811795 and 103190811804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 387714 + ... + 597246.

Almost surely, 2^103190811840 is an apocalyptic number.

103190811840 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 103190811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193194538680).

103190811840 is an abundant number, since it is smaller than the sum of its proper divisors (283198265520).

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

103190811840 is a wasteful number, since it uses less digits than its factorization.

103190811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209581 (or 209562 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 103190811840 in words is "one hundred three billion, one hundred ninety million, eight hundred eleven thousand, eight hundred forty".