106090164 has 36 divisors (see below), whose sum is σ = 268877700. Its totient is φ = 35270400.

The previous prime is 106090151. The next prime is 106090177. The reversal of 106090164 is 461090601.

It is an interprime number because it is at equal distance from previous prime (106090151) and next prime (106090177).

It can be written as a sum of positive squares in 2 ways, for example, as 93896100 + 12194064 = 9690^2 + 3492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106090164² = 22510245795093792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10762 + ... + 18110.

It is an arithmetic number, because the mean of its divisors is an integer number (7468825).

Almost surely, 2^106090164 is an apocalyptic number.

It is an amenable number.

106090164 is an abundant number, since it is smaller than the sum of its proper divisors (162787536).

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

106090164 is a wasteful number, since it uses less digits than its factorization.

106090164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106090164 is about 10300.0079611620. The cubic root of 106090164 is about 473.3964973345.

The spelling of 106090164 in words is "one hundred six million, ninety thousand, one hundred sixty-four".