106192064 has 112 divisors (see below), whose sum is σ = 256763520. Its totient is φ = 42946560.

The previous prime is 106192061. The next prime is 106192067. The reversal of 106192064 is 460291601.

It is an interprime number because it is at equal distance from previous prime (106192061) and next prime (106192067).

It is a super-2 number, since 2×106192064² = 22553508913160192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106192061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227159 + ... + 227625.

Almost surely, 2^106192064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

106192064 is an abundant number, since it is smaller than the sum of its proper divisors (150571456).

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

106192064 is a wasteful number, since it uses less digits than its factorization.

106192064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 106192064 is about 10304.9533720440. The cubic root of 106192064 is about 473.5480152035.

The spelling of 106192064 in words is "one hundred six million, one hundred ninety-two thousand, sixty-four".