106167096 has 96 divisors (see below), whose sum is σ = 330152160. Its totient is φ = 30191616.

The previous prime is 106167067. The next prime is 106167101. The reversal of 106167096 is 690761601.

It is a super-2 number, since 2×106167096² = 22542904546146432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106167096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157416 + ... + 158088.

It is an arithmetic number, because the mean of its divisors is an integer number (3439085).

Almost surely, 2^106167096 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 106167096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165076080).

106167096 is an abundant number, since it is smaller than the sum of its proper divisors (223985064).

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

106167096 is a wasteful number, since it uses less digits than its factorization.

106167096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 106167096 is about 10303.7418445922. The cubic root of 106167096 is about 473.5108985767.

The spelling of 106167096 in words is "one hundred six million, one hundred sixty-seven thousand, ninety-six".