109467016164 has 189 divisors, whose sum is σ = 316271919481. Its totient is φ = 33112268640.

The previous prime is 109467016133. The next prime is 109467016171. The reversal of 109467016164 is 461610764901.

The square root of 109467016164 is 330858.

It is a perfect power (a square), and thus also a powerful number.

109467016164 is a `hidden beast` number, since 10 + 9 + 467 + 0 + 16 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9605960100 + 99861056064 = 98010^2 + 316008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 196529374 + ... + 196529930.

Almost surely, 2^109467016164 is an apocalyptic number.

109467016164 is the 330858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109467016164

109467016164 is an abundant number, since it is smaller than the sum of its proper divisors (206804903317).

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

109467016164 is an frugal number, since it uses more digits than its factorization.

109467016164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 109467016164 in words is "one hundred nine billion, four hundred sixty-seven million, sixteen thousand, one hundred sixty-four".