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161164100 = 225210315647
BaseRepresentation
bin10011001101100…
…10101101000100
3102020020222120202
421212302231010
5312224222400
623554150032
73664605116
oct1146625504
9366228522
10161164100
1182a77a79
1245b82318
132750a596
14175933b6
15e2374d5
hex99b2b44

161164100 has 36 divisors (see below), whose sum is σ = 353144064. Its totient is φ = 63835680.

The previous prime is 161164079. The next prime is 161164123. The reversal of 161164100 is 1461161.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2477 + ... + 18123.

Almost surely, 2161164100 is an apocalyptic number.

161164100 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 161164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176572032).

161164100 is an abundant number, since it is smaller than the sum of its proper divisors (191979964).

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

161164100 is a wasteful number, since it uses less digits than its factorization.

161164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15764 (or 15757 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 161164100 is about 12695.0423394331. The cubic root of 161164100 is about 544.1969487648.

The spelling of 161164100 in words is "one hundred sixty-one million, one hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 10300 15647 31294 62588 78235 156470 312940 391175 782350 1564700 1611641 3223282 6446564 8058205 16116410 32232820 40291025 80582050 161164100