103840319798208 has 560 divisors, whose sum is σ = 357270903887040. Its totient is φ = 29209192759296.

The previous prime is 103840319798179. The next prime is 103840319798219. The reversal of 103840319798208 is 802897913048301.

103840319798208 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 40 + 319 + 79 + 8 + 208 = 666.

It is a super-2 number, since 2×103840319798208² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 752435260 + ... + 752573252.

Almost surely, 2^{103840319798208} is an apocalyptic number.

103840319798208 is a gapful number since it is divisible by the number (18) 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 103840319798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178635451943520).

103840319798208 is an abundant number, since it is smaller than the sum of its proper divisors (253430584088832).

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

103840319798208 is a wasteful number, since it uses less digits than its factorization.

103840319798208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138346 (or 138327 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 103840319798208 in words is "one hundred three trillion, eight hundred forty billion, three hundred nineteen million, seven hundred ninety-eight thousand, two hundred eight".