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106297191 = 35711131923
BaseRepresentation
bin1100101010111…
…11011101100111
321102000110100000
412111133131213
5204203002231
614314152343
72430340230
oct625373547
9242013300
10106297191
1155002720
122b7226b3
1319039b60
1410190087
1594ea6e6
hex655f767

106297191 has 192 divisors, whose sum is σ = 234823680. Its totient is φ = 46189440.

The previous prime is 106297097. The next prime is 106297201. The reversal of 106297191 is 191792601.

106297191 is a `hidden beast` number, since 10 + 629 + 7 + 19 + 1 = 666.

It is not a de Polignac number, because 106297191 - 210 = 106296167 is a prime.

It is a super-2 number, since 2×1062971912 = 22598185628980962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106297091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4621606 + ... + 4621628.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 2106297191 is an apocalyptic number.

106297191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106297191 is an abundant number, since it is smaller than the sum of its proper divisors (128526489).

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

106297191 is a wasteful number, since it uses less digits than its factorization.

106297191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 106297191 is about 10310.0529096606. The cubic root of 106297191 is about 473.7042298381.

The spelling of 106297191 in words is "one hundred six million, two hundred ninety-seven thousand, one hundred ninety-one".