106415857710 has 24 divisors (see below), whose sum is σ = 276681230280. Its totient is φ = 28377562032.

The previous prime is 106415857699. The next prime is 106415857711. The reversal of 106415857710 is 17758514601.

106415857710 is a `hidden beast` number, since 1 + 0 + 64 + 1 + 5 + 8 + 577 + 10 = 666.

It is a super-2 number, since 2×106415857710² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106415857711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591199120 + ... + 591199299.

It is an arithmetic number, because the mean of its divisors is an integer number (11528384595).

Almost surely, 2^106415857710 is an apocalyptic number.

106415857710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106415857710 is an abundant number, since it is smaller than the sum of its proper divisors (170265372570).

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

106415857710 is a wasteful number, since it uses less digits than its factorization.

106415857710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182398432 (or 1182398429 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 106415857710 in words is "one hundred six billion, four hundred fifteen million, eight hundred fifty-seven thousand, seven hundred ten".