103792803840 has 896 divisors, whose sum is σ = 412587388800. Its totient is φ = 24843386880.

The previous prime is 103792803797. The next prime is 103792803913. The reversal of 103792803840 is 48308297301.

103792803840 is a `hidden beast` number, since 103 + 7 + 92 + 80 + 384 + 0 = 666.

It is a super-2 number, since 2×103792803840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1313832921 + ... + 1313832999.

Almost surely, 2^103792803840 is an apocalyptic number.

103792803840 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 103792803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206293694400).

103792803840 is an abundant number, since it is smaller than the sum of its proper divisors (308794584960).

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

103792803840 is an frugal number, since it uses more digits than its factorization.

103792803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 103792803840 in words is "one hundred three billion, seven hundred ninety-two million, eight hundred three thousand, eight hundred forty".