164434102700 has 72 divisors (see below), whose sum is σ = 417280292352. Its totient is φ = 55066294080.

The previous prime is 164434102691. The next prime is 164434102727. The reversal of 164434102700 is 7201434461.

It is a super-3 number, since 3×164434102700³ (a number of 35 digits) contains 333 as substring.

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, 2701364 + ... + 2761563.

It is an arithmetic number, because the mean of its divisors is an integer number (5795559616).

Almost surely, 2^164434102700 is an apocalyptic number.

164434102700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164434102700 is an abundant number, since it is smaller than the sum of its proper divisors (252846189652).

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

164434102700 is a wasteful number, since it uses less digits than its factorization.

164434102700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462991 (or 5462984 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 164434102700 in words is "one hundred sixty-four billion, four hundred thirty-four million, one hundred two thousand, seven hundred".