164451053100 has 144 divisors (see below), whose sum is σ = 482294131200. Its totient is φ = 43257227520.

The previous prime is 164451053099. The next prime is 164451053131. The reversal of 164451053100 is 1350154461.

It is a happy number.

164451053100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164451053100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30973246 + ... + 30978554.

It is an arithmetic number, because the mean of its divisors is an integer number (3349264800).

Almost surely, 2^164451053100 is an apocalyptic number.

164451053100 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 164451053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241147065600).

164451053100 is an abundant number, since it is smaller than the sum of its proper divisors (317843078100).

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

164451053100 is a wasteful number, since it uses less digits than its factorization.

164451053100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6705 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 164451053100 in words is "one hundred sixty-four billion, four hundred fifty-one million, fifty-three thousand, one hundred".