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106186454 = 21121753487
BaseRepresentation
bin1100101010001…
…00011011010110
321101210211102122
412111010123112
5204140431304
614311535542
72426366333
oct625043326
9241724378
10106186454
1154a37500
122b68a5b2
1318ccb62a
141016198a
1594c79be
hex65446d6

106186454 has 48 divisors (see below), whose sum is σ = 189260064. Its totient is φ = 44478720.

The previous prime is 106186427. The next prime is 106186463. The reversal of 106186454 is 454681601.

It is a super-2 number, since 2×1061864542 = 22551126026188232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 217799 + ... + 218285.

It is an arithmetic number, because the mean of its divisors is an integer number (3942918).

Almost surely, 2106186454 is an apocalyptic number.

106186454 is a deficient number, since it is larger than the sum of its proper divisors (83073610).

106186454 is a wasteful number, since it uses less digits than its factorization.

106186454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 106186454 is about 10304.6811692551. The cubic root of 106186454 is about 473.5396760645.

The spelling of 106186454 in words is "one hundred six million, one hundred eighty-six thousand, four hundred fifty-four".

Divisors: 1 2 11 17 22 34 53 106 121 187 242 374 487 583 901 974 1166 1802 2057 4114 5357 6413 8279 9911 10714 12826 16558 19822 25811 51622 58927 91069 109021 117854 182138 218042 283921 438787 567842 877574 1001759 2003518 3123131 4826657 6246262 9653314 53093227 106186454