106167332 has 12 divisors (see below), whose sum is σ = 186867996. Its totient is φ = 52776480.

The previous prime is 106167323. The next prime is 106167337. The reversal of 106167332 is 233761601.

It can be written as a sum of positive squares in 2 ways, for example, as 59845696 + 46321636 = 7736^2 + 6806^2 .

It is a super-2 number, since 2×106167332² = 22543004767996448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106167295 and 106167304.

It is not an unprimeable number, because it can be changed into a prime (106167337) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76019 + ... + 77402.

It is an arithmetic number, because the mean of its divisors is an integer number (15572333).

Almost surely, 2^106167332 is an apocalyptic number.

It is an amenable number.

106167332 is a deficient number, since it is larger than the sum of its proper divisors (80700664).

106167332 is a wasteful number, since it uses less digits than its factorization.

106167332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153598 (or 153596 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 106167332 is about 10303.7532967361. The cubic root of 106167332 is about 473.5112494340.

The spelling of 106167332 in words is "one hundred six million, one hundred sixty-seven thousand, three hundred thirty-two".