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101207106 = 2327111341137
BaseRepresentation
bin1100000100001…
…00110001000010
321001102212001100
412002010301002
5201402111411
614013115230
72336150310
oct602046102
9231385040
10101207106
1152146440
1229a88b16
1317c77080
14d6270b0
158d42456
hex6084c42

101207106 has 192 divisors, whose sum is σ = 303803136. Its totient is φ = 23500800.

The previous prime is 101207101. The next prime is 101207131. The reversal of 101207106 is 601702101.

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

It is not an unprimeable number, because it can be changed into a prime (101207101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 738670 + ... + 738806.

It is an arithmetic number, because the mean of its divisors is an integer number (1582308).

Almost surely, 2101207106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101207106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151901568).

101207106 is an abundant number, since it is smaller than the sum of its proper divisors (202596030).

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

101207106 is a wasteful number, since it uses less digits than its factorization.

101207106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 101207106 is about 10060.1742529640. The cubic root of 101207106 is about 466.0190485070.

Adding to 101207106 its reverse (601702101), we get a palindrome (702909207).

The spelling of 101207106 in words is "one hundred one million, two hundred seven thousand, one hundred six".