106162512 has 80 divisors (see below), whose sum is σ = 280874880. Its totient is φ = 34546176.

The previous prime is 106162499. The next prime is 106162541. The reversal of 106162512 is 215261601.

It is a super-2 number, since 2×106162512² = 22540957908300288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 538798 + ... + 538994.

It is an arithmetic number, because the mean of its divisors is an integer number (3510936).

Almost surely, 2^106162512 is an apocalyptic number.

106162512 is a gapful number since it is divisible by the number (12) 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 106162512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140437440).

106162512 is an abundant number, since it is smaller than the sum of its proper divisors (174712368).

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

106162512 is a wasteful number, since it uses less digits than its factorization.

106162512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 106162512 is about 10303.5193987297. The cubic root of 106162512 is about 473.5040835173.

The spelling of 106162512 in words is "one hundred six million, one hundred sixty-two thousand, five hundred twelve".