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104022100 = 225272132371
BaseRepresentation
bin1100011001101…
…00000001010100
321020201212111101
412030310001110
5203112201400
614153315444
72402113300
oct614640124
9236655441
10104022100
1153799386
122aa05b84
1318721450
14db5ad00
1591eb56a
hex6334054

104022100 has 216 divisors, whose sum is σ = 299230848. Its totient is φ = 31046400.

The previous prime is 104022097. The next prime is 104022109. The reversal of 104022100 is 1220401.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104022109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1465065 + ... + 1465135.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2104022100 is an apocalyptic number.

104022100 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 104022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

104022100 is an abundant number, since it is smaller than the sum of its proper divisors (195208748).

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

104022100 is a wasteful number, since it uses less digits than its factorization.

104022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 104022100 is about 10199.1225112752. The cubic root of 104022100 is about 470.3002457597.

Adding to 104022100 its reverse (1220401), we get a palindrome (105242501).

The spelling of 104022100 in words is "one hundred four million, twenty-two thousand, one hundred".