103820093091 has 64 divisors (see below), whose sum is σ = 186526126080. Its totient is φ = 56207520000.

The previous prime is 103820093081. The next prime is 103820093099. The reversal of 103820093091 is 190390028301.

It is not a de Polignac number, because 103820093091 - 2¹⁴ = 103820076707 is a prime.

It is a super-2 number, since 2×103820093091² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103820093099) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314010 + ... + 553391.

It is an arithmetic number, because the mean of its divisors is an integer number (2914470720).

Almost surely, 2^103820093091 is an apocalyptic number.

103820093091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103820093091 is a deficient number, since it is larger than the sum of its proper divisors (82706032989).

103820093091 is a wasteful number, since it uses less digits than its factorization.

103820093091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867465 (or 867459 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 103820093091 in words is "one hundred three billion, eight hundred twenty million, ninety-three thousand, ninety-one".