105090804 has 288 divisors, whose sum is σ = 365845760. Its totient is φ = 25380864.

The previous prime is 105090781. The next prime is 105090823. The reversal of 105090804 is 408090501.

It is a super-2 number, since 2×105090804² = 22088154170732832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2840274 + ... + 2840310.

Almost surely, 2^105090804 is an apocalyptic number.

105090804 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 105090804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182922880).

105090804 is an abundant number, since it is smaller than the sum of its proper divisors (260754956).

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

105090804 is a wasteful number, since it uses less digits than its factorization.

105090804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105090804 is about 10251.3805899498. The cubic root of 105090804 is about 471.9053542393.

The spelling of 105090804 in words is "one hundred five million, ninety thousand, eight hundred four".