106038504 has 128 divisors (see below), whose sum is σ = 346147200. Its totient is φ = 29652480.

The previous prime is 106038479. The next prime is 106038511. The reversal of 106038504 is 405830601.

106038504 is a `hidden beast` number, since 1 + 0 + 603 + 8 + 50 + 4 = 666.

It is a super-2 number, since 2×106038504² = 22488328661116032, 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 31 ways as a sum of consecutive naturals, for example, 29172 + ... + 32604.

It is an arithmetic number, because the mean of its divisors is an integer number (2704275).

Almost surely, 2^106038504 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 106038504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173073600).

106038504 is an abundant number, since it is smaller than the sum of its proper divisors (240108696).

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

106038504 is a wasteful number, since it uses less digits than its factorization.

106038504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106038504 is about 10297.4998907502. The cubic root of 106038504 is about 473.3196456180.

The spelling of 106038504 in words is "one hundred six million, thirty-eight thousand, five hundred four".