106218792 has 24 divisors (see below), whose sum is σ = 287676090. Its totient is φ = 35406240.

The previous prime is 106218781. The next prime is 106218799. The reversal of 106218792 is 297812601.

It can be written as a sum of positive squares in only one way, i.e., 104162436 + 2056356 = 10206^2 + 1434^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106218792² = 22564863547878528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106218799) 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 5 ways as a sum of consecutive naturals, for example, 737559 + ... + 737702.

Almost surely, 2^106218792 is an apocalyptic number.

106218792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106218792 is an abundant number, since it is smaller than the sum of its proper divisors (181457298).

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

106218792 is a wasteful number, since it uses less digits than its factorization.

106218792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475273 (or 1475266 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106218792 is about 10306.2501425106. The cubic root of 106218792 is about 473.5877417428.

The spelling of 106218792 in words is "one hundred six million, two hundred eighteen thousand, seven hundred ninety-two".