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125005104 = 243271961107
BaseRepresentation
bin1110111001101…
…10110100110000
322201012220202200
413130312310300
5224000130404
620223143200
73045345240
oct734666460
9281186680
10125005104
1164620204
1235a44b00
131cb8a123
141285db20
15ae93839
hex7736d30

125005104 has 240 divisors, whose sum is σ = 431758080. Its totient is φ = 32970240.

The previous prime is 125005099. The next prime is 125005121. The reversal of 125005104 is 401500521.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1168219 + ... + 1168325.

It is an arithmetic number, because the mean of its divisors is an integer number (1798992).

Almost surely, 2125005104 is an apocalyptic number.

125005104 is a gapful number since it is divisible by the number (14) 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 125005104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215879040).

125005104 is an abundant number, since it is smaller than the sum of its proper divisors (306752976).

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

125005104 is a wasteful number, since it uses less digits than its factorization.

125005104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 125005104 is about 11180.5681429881. The cubic root of 125005104 is about 500.0068052407.

Adding to 125005104 its reverse (401500521), we get a palindrome (526505625).

The spelling of 125005104 in words is "one hundred twenty-five million, five thousand, one hundred four".