164362417100 has 72 divisors (see below), whose sum is σ = 407985658080. Its totient is φ = 56302110720.

The previous prime is 164362417073. The next prime is 164362417111. The reversal of 164362417100 is 1714263461.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 676796 + ... + 887004.

Almost surely, 2^164362417100 is an apocalyptic number.

164362417100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164362417100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203992829040).

164362417100 is an abundant number, since it is smaller than the sum of its proper divisors (243623240980).

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

164362417100 is a wasteful number, since it uses less digits than its factorization.

164362417100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211347 (or 211340 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 164362417100 in words is "one hundred sixty-four billion, three hundred sixty-two million, four hundred seventeen thousand, one hundred".