106385741 has 48 divisors (see below), whose sum is σ = 143818752. Its totient is φ = 76839840.

The previous prime is 106385737. The next prime is 106385753. The reversal of 106385741 is 147583601.

It is not a de Polignac number, because 106385741 - 2² = 106385737 is a prime.

It is a super-2 number, since 2×106385741² = 22635851776238162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106385641) 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, 837620 + ... + 837746.

It is an arithmetic number, because the mean of its divisors is an integer number (2996224).

Almost surely, 2^106385741 is an apocalyptic number.

106385741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106385741 is a deficient number, since it is larger than the sum of its proper divisors (37433011).

106385741 is a wasteful number, since it uses less digits than its factorization.

106385741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 106385741 is about 10314.3463680449. The cubic root of 106385741 is about 473.8357317992.

The spelling of 106385741 in words is "one hundred six million, three hundred eighty-five thousand, seven hundred forty-one".