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106343754 = 23112295051
BaseRepresentation
bin1100101011010…
…10110101001010
321102002211012120
412111222311022
5204211000004
614315152110
72430623046
oct625526512
9242084176
10106343754
1155034700
122b745636
13190550ca
14101a3026
1595093d9
hex656ad4a

106343754 has 48 divisors (see below), whose sum is σ = 241889760. Its totient is φ = 31108000.

The previous prime is 106343749. The next prime is 106343761. The reversal of 106343754 is 457343601.

It is a super-2 number, since 2×1063437542 = 22617988029625032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18529 + ... + 23579.

It is an arithmetic number, because the mean of its divisors is an integer number (5039370).

Almost surely, 2106343754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106343754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120944880).

106343754 is an abundant number, since it is smaller than the sum of its proper divisors (135546006).

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

106343754 is a wasteful number, since it uses less digits than its factorization.

106343754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 106343754 is about 10312.3107982644. The cubic root of 106343754 is about 473.7733877339.

The spelling of 106343754 in words is "one hundred six million, three hundred forty-three thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 363 638 726 957 1914 3509 5051 7018 10102 10527 15153 21054 30306 55561 111122 146479 166683 292958 333366 439437 611171 878874 1222342 1611269 1833513 3222538 3667026 4833807 9667614 17723959 35447918 53171877 106343754