105802004 has 48 divisors (see below), whose sum is σ = 231880320. Its totient is φ = 41036160.

The previous prime is 105802003. The next prime is 105802027. The reversal of 105802004 is 400208501.

It is a super-2 number, since 2×105802004² = 22388128100832032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105802003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82214 + ... + 83490.

It is an arithmetic number, because the mean of its divisors is an integer number (4830840).

Almost surely, 2^105802004 is an apocalyptic number.

105802004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105802004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115940160).

105802004 is an abundant number, since it is smaller than the sum of its proper divisors (126078316).

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

105802004 is a wasteful number, since it uses less digits than its factorization.

105802004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 105802004 is about 10286.0101108253. The cubic root of 105802004 is about 472.9674986272.

The spelling of 105802004 in words is "one hundred five million, eight hundred two thousand, four".