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100148160 = 2635722129
BaseRepresentation
bin1011111100000…
…10001111000000
320222110001110010
411332002033000
5201114220120
613534304520
72324150100
oct576021700
9228401403
10100148160
1151592882
1229658140
1317996088
14d42d200
158bd37e0
hex5f823c0

100148160 has 168 divisors, whose sum is σ = 370057680. Its totient is φ = 22880256.

The previous prime is 100148099. The next prime is 100148177. The reversal of 100148160 is 61841001.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 45976 + ... + 48104.

Almost surely, 2100148160 is an apocalyptic number.

100148160 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 100148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185028840).

100148160 is an abundant number, since it is smaller than the sum of its proper divisors (269909520).

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

100148160 is a wasteful number, since it uses less digits than its factorization.

100148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 100148160 is about 10007.4052581076. The cubic root of 100148160 is about 464.3880028446.

Adding to 100148160 its reverse (61841001), we get a palindrome (161989161).

The spelling of 100148160 in words is "one hundred million, one hundred forty-eight thousand, one hundred sixty".