106504830 has 96 divisors (see below), whose sum is σ = 295783488. Its totient is φ = 26496000.

The previous prime is 106504829. The next prime is 106504831. The reversal of 106504830 is 38405601.

106504830 is a `hidden beast` number, since 1 + 0 + 650 + 4 + 8 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106504829) and next prime (106504831).

It is a super-2 number, since 2×106504830² = 22686557626657800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106504794 and 106504803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106504831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230800 + ... + 231260.

It is an arithmetic number, because the mean of its divisors is an integer number (3081078).

Almost surely, 2^106504830 is an apocalyptic number.

106504830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106504830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147891744).

106504830 is an abundant number, since it is smaller than the sum of its proper divisors (189278658).

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

106504830 is a wasteful number, since it uses less digits than its factorization.

106504830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 639 counting only the distinct ones).

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

The square root of 106504830 is about 10320.1177318866. The cubic root of 106504830 is about 474.0124709639.

The spelling of 106504830 in words is "one hundred six million, five hundred four thousand, eight hundred thirty".