106385130 has 32 divisors (see below), whose sum is σ = 283694400. Its totient is φ = 28369296.

The previous prime is 106385129. The next prime is 106385177. The reversal of 106385130 is 31583601.

106385130 is a `hidden beast` number, since 10 + 638 + 5 + 13 + 0 = 666.

It is a super-2 number, since 2×106385130² = 22635591770233800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106385094 and 106385103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196740 + ... + 197279.

It is an arithmetic number, because the mean of its divisors is an integer number (8865450).

Almost surely, 2^106385130 is an apocalyptic number.

106385130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106385130 is an abundant number, since it is smaller than the sum of its proper divisors (177309270).

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

106385130 is a wasteful number, since it uses less digits than its factorization.

106385130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394035 (or 394029 counting only the distinct ones).

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

The square root of 106385130 is about 10314.3167490629. The cubic root of 106385130 is about 473.8348246783.

The spelling of 106385130 in words is "one hundred six million, three hundred eighty-five thousand, one hundred thirty".