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106217454 = 2373768351
BaseRepresentation
bin1100101010010…
…11111111101110
321101212101221210
412111023333232
5204142424304
614312335250
72426555610
oct625137756
9241771853
10106217454
1154a58822
122b6a4526
131900c785
141016cdb0
1594d1c89
hex654bfee

106217454 has 32 divisors (see below), whose sum is σ = 249348096. Its totient is φ = 29527200.

The previous prime is 106217453. The next prime is 106217471. The reversal of 106217454 is 454712601.

It is a super-2 number, since 2×1062174542 = 22564295068484232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106217453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32622 + ... + 35729.

It is an arithmetic number, because the mean of its divisors is an integer number (7792128).

Almost surely, 2106217454 is an apocalyptic number.

106217454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106217454 is an abundant number, since it is smaller than the sum of its proper divisors (143130642).

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

106217454 is a wasteful number, since it uses less digits than its factorization.

106217454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68400.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 106217454 is about 10306.1852302392. The cubic root of 106217454 is about 473.5857531962.

The spelling of 106217454 in words is "one hundred six million, two hundred seventeen thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1554 68351 136702 205053 410106 478457 956914 1435371 2528987 2870742 5057974 7586961 15173922 17702909 35405818 53108727 106217454