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106171803 = 356612
BaseRepresentation
bin1100101010000…
…00110110011011
321101210002100000
412111000312123
5204134444203
614311344043
72426305533
oct625006633
9241702300
10106171803
1154a274a1
122b682023
1318cc4a6a
141015a4c3
1594c34a3
hex6540d9b

106171803 has 18 divisors (see below), whose sum is σ = 159280212. Its totient is φ = 70674120.

The previous prime is 106171799. The next prime is 106171811. The reversal of 106171803 is 308171601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 106171803 - 22 = 106171799 is a prime.

It is a super-2 number, since 2×1061718032 = 22544903504541618, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106171823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 160293 + ... + 160953.

Almost surely, 2106171803 is an apocalyptic number.

106171803 is a deficient number, since it is larger than the sum of its proper divisors (53108409).

106171803 is an frugal number, since it uses more digits than its factorization.

106171803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 106171803 is about 10303.9702542273. The cubic root of 106171803 is about 473.5178962968.

Multiplying 106171803 by its sum of digits (27), we get a square (2866638681 = 535412).

106171803 divided by its sum of digits (27) gives a square (3932289 = 19832).

The spelling of 106171803 in words is "one hundred six million, one hundred seventy-one thousand, eight hundred three".

Divisors: 1 3 9 27 81 243 661 1983 5949 17847 53541 160623 436921 1310763 3932289 11796867 35390601 106171803