106504776 has 48 divisors (see below), whose sum is σ = 329659200. Its totient is φ = 30429792.

The previous prime is 106504771. The next prime is 106504817. The reversal of 106504776 is 677405601.

It is a super-2 number, since 2×106504776² = 22686534621620352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106504776.

It is not an unprimeable number, because it can be changed into a prime (106504771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105156 + ... + 106163.

It is an arithmetic number, because the mean of its divisors is an integer number (6867900).

Almost surely, 2^106504776 is an apocalyptic number.

It is an amenable number.

106504776 is an abundant number, since it is smaller than the sum of its proper divisors (223154424).

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

106504776 is a wasteful number, since it uses less digits than its factorization.

106504776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211338 (or 211331 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 106504776 is about 10320.1151156370. The cubic root of 106504776 is about 474.0123908527.

The spelling of 106504776 in words is "one hundred six million, five hundred four thousand, seven hundred seventy-six".