103791657690 has 320 divisors, whose sum is σ = 333793658880. Its totient is φ = 22641223680.

The previous prime is 103791657661. The next prime is 103791657703. The reversal of 103791657690 is 96756197301.

It is a happy number.

It is a super-2 number, since 2×103791657690² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12827166 + ... + 12835254.

It is an arithmetic number, because the mean of its divisors is an integer number (1043105184).

Almost surely, 2^103791657690 is an apocalyptic number.

103791657690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103791657690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166896829440).

103791657690 is an abundant number, since it is smaller than the sum of its proper divisors (230002001190).

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

103791657690 is a wasteful number, since it uses less digits than its factorization.

103791657690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 103791657690 in words is "one hundred three billion, seven hundred ninety-one million, six hundred fifty-seven thousand, six hundred ninety".