106290504 has 48 divisors (see below), whose sum is σ = 289399500. Its totient is φ = 35241984.

The previous prime is 106290473. The next prime is 106290517. The reversal of 106290504 is 405092601.

106290504 is a `hidden beast` number, since 10 + 62 + 90 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88397604 + 17892900 = 9402^2 + 4230^2 .

It is a super-2 number, since 2×106290504² = 22595342481148032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10072 + ... + 17720.

Almost surely, 2^106290504 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 106290504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144699750).

106290504 is an abundant number, since it is smaller than the sum of its proper divisors (183108996).

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

106290504 is a wasteful number, since it uses less digits than its factorization.

106290504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106290504 is about 10309.7286094252. The cubic root of 106290504 is about 473.6942962843.

The spelling of 106290504 in words is "one hundred six million, two hundred ninety thousand, five hundred four".