106242864 has 120 divisors (see below), whose sum is σ = 339835392. Its totient is φ = 28005120.

The previous prime is 106242847. The next prime is 106242869. The reversal of 106242864 is 468242601.

It is a super-2 number, since 2×106242864² = 22575092301844992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106242869) 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 23 ways as a sum of consecutive naturals, for example, 55849 + ... + 57719.

Almost surely, 2^106242864 is an apocalyptic number.

106242864 is a gapful number since it is divisible by the number (14) 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 106242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169917696).

106242864 is an abundant number, since it is smaller than the sum of its proper divisors (233592528).

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

106242864 is a wasteful number, since it uses less digits than its factorization.

106242864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 106242864 is about 10307.4179113879. The cubic root of 106242864 is about 473.6235148949.

The spelling of 106242864 in words is "one hundred six million, two hundred forty-two thousand, eight hundred sixty-four".