103998690 has 96 divisors (see below), whose sum is σ = 289566576. Its totient is φ = 25804800.

The previous prime is 103998677. The next prime is 103998691. The reversal of 103998690 is 96899301.

It can be written as a sum of positive squares in 8 ways, for example, as 79762761 + 24235929 = 8931^2 + 4923^2 .

It is a super-2 number, since 2×103998690² = 21631455043432200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103998691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154194 + ... + 154866.

Almost surely, 2^103998690 is an apocalyptic number.

103998690 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 103998690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144783288).

103998690 is an abundant number, since it is smaller than the sum of its proper divisors (185567886).

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

103998690 is a wasteful number, since it uses less digits than its factorization.

103998690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 103998690 is about 10197.9747989491. The cubic root of 103998690 is about 470.2649630176.

The spelling of 103998690 in words is "one hundred three million, nine hundred ninety-eight thousand, six hundred ninety".