103820093090 has 48 divisors (see below), whose sum is σ = 224882681400. Its totient is φ = 34368026112.

The previous prime is 103820093081. The next prime is 103820093099. The reversal of 103820093090 is 90390028301.

It is an interprime number because it is at equal distance from previous prime (103820093081) and next prime (103820093099).

It can be written as a sum of positive squares in 4 ways, for example, as 102663208921 + 1156884169 = 320411^2 + 34013^2 .

It is a super-2 number, since 2×103820093090² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 103820093090.

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 23 ways as a sum of consecutive naturals, for example, 3638855 + ... + 3667274.

Almost surely, 2^103820093090 is an apocalyptic number.

103820093090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103820093090 is an abundant number, since it is smaller than the sum of its proper divisors (121062588310).

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

103820093090 is a wasteful number, since it uses less digits than its factorization.

103820093090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7306179 (or 7306172 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 103820093090 in words is "one hundred three billion, eight hundred twenty million, ninety-three thousand, ninety".