106130736 has 100 divisors (see below), whose sum is σ = 309352472. Its totient is φ = 35271936.

The previous prime is 106130723. The next prime is 106130741. The reversal of 106130736 is 637031601.

106130736 is a `hidden beast` number, since 10 + 613 + 0 + 7 + 36 = 666.

It is a super-2 number, since 2×106130736² = 22527466247803392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 314760 + ... + 315096.

Almost surely, 2^106130736 is an apocalyptic number.

106130736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106130736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154676236).

106130736 is an abundant number, since it is smaller than the sum of its proper divisors (203221736).

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

106130736 is an frugal number, since it uses more digits than its factorization.

106130736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 106130736 is about 10301.9772859389. The cubic root of 106130736 is about 473.4568365595.

The spelling of 106130736 in words is "one hundred six million, one hundred thirty thousand, seven hundred thirty-six".