106513830 has 48 divisors (see below), whose sum is σ = 285876864. Its totient is φ = 27486720.

The previous prime is 106513811. The next prime is 106513831. The reversal of 106513830 is 38315601.

106513830 is a `hidden beast` number, since 1 + 0 + 651 + 3 + 8 + 3 + 0 = 666.

It is a super-2 number, since 2×106513830² = 22690391962537800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106513794 and 106513803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106513831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16299 + ... + 21878.

It is an arithmetic number, because the mean of its divisors is an integer number (5955768).

Almost surely, 2^106513830 is an apocalyptic number.

106513830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106513830 is an abundant number, since it is smaller than the sum of its proper divisors (179363034).

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

106513830 is a wasteful number, since it uses less digits than its factorization.

106513830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38221 (or 38218 counting only the distinct ones).

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

The square root of 106513830 is about 10320.5537642125. The cubic root of 106513830 is about 474.0258224462.

The spelling of 106513830 in words is "one hundred six million, five hundred thirteen thousand, eight hundred thirty".