103685988 has 96 divisors (see below), whose sum is σ = 288488704. Its totient is φ = 28366848.

The previous prime is 103685977. The next prime is 103686013. The reversal of 103685988 is 889586301.

It is a super-2 number, since 2×103685988² = 21501568215072288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226656 + ... + 227112.

Almost surely, 2^103685988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103685988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144244352).

103685988 is an abundant number, since it is smaller than the sum of its proper divisors (184802716).

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

103685988 is a wasteful number, since it uses less digits than its factorization.

103685988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 103685988 is about 10182.6316834107. The cubic root of 103685988 is about 469.7931608354.

The spelling of 103685988 in words is "one hundred three million, six hundred eighty-five thousand, nine hundred eighty-eight".