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106354956 = 22348718199
BaseRepresentation
bin1100101011011…
…01100100001100
321102010101120110
412111231210030
5204211324311
614315320020
72431000521
oct625554414
9242111513
10106354956
1155042064
122b750010
131905a236
14101a7148
15950c8a6
hex656d90c

106354956 has 24 divisors (see below), whose sum is σ = 248684800. Its totient is φ = 35376912.

The previous prime is 106354939. The next prime is 106354957. The reversal of 106354956 is 659453601.

It is a super-2 number, since 2×1063549562 = 22622753331523872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106354957) 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 7 ways as a sum of consecutive naturals, for example, 3256 + ... + 14943.

Almost surely, 2106354956 is an apocalyptic number.

It is an amenable number.

106354956 is an abundant number, since it is smaller than the sum of its proper divisors (142329844).

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

106354956 is a wasteful number, since it uses less digits than its factorization.

106354956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18693 (or 18691 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 106354956 is about 10312.8539211995. The cubic root of 106354956 is about 473.7900225399.

The spelling of 106354956 in words is "one hundred six million, three hundred fifty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 487 974 1461 1948 2922 5844 18199 36398 54597 72796 109194 218388 8862913 17725826 26588739 35451652 53177478 106354956