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107100000 = 253255717
BaseRepresentation
bin1100110001000…
…11011101100000
321110112020120200
412120203131200
5204404200000
614343305200
72440222620
oct630433540
9243466520
10107100000
11555008a7
122ba4b200
131925b3a7
141031c880
159608500
hex6623760

107100000 has 432 divisors, whose sum is σ = 460658016. Its totient is φ = 23040000.

The previous prime is 107099977. The next prime is 107100001. The reversal of 107100000 is 1701.

It is a super-2 number, since 2×1071000002 = 22940820000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107100001) 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, 6299992 + ... + 6300008.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 2107100000 is an apocalyptic number.

107100000 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 107100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230329008).

107100000 is an abundant number, since it is smaller than the sum of its proper divisors (353558016).

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

107100000 is an equidigital number, since it uses as much as digits as its factorization.

107100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 107100000 is about 10348.9129863962. The cubic root of 107100000 is about 474.8937897342.

Adding to 107100000 its reverse (1701), we get a palindrome (107101701).

The spelling of 107100000 in words is "one hundred seven million, one hundred thousand".