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106453230 = 235131072551
BaseRepresentation
bin1100101100001…
…01100011101110
321102022101101020
412112011203232
5204223000410
614321355010
72431560162
oct626054356
9242271336
10106453230
11550a9984
122b798a66
1319092ba0
14101d0ca2
15952ba70
hex65858ee

106453230 has 64 divisors (see below), whose sum is σ = 277820928. Its totient is φ = 25948800.

The previous prime is 106453213. The next prime is 106453231. The reversal of 106453230 is 32354601.

It is a happy number.

It is a super-2 number, since 2×1064532302 = 22664580354865800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106453230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106453231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40455 + ... + 43005.

It is an arithmetic number, because the mean of its divisors is an integer number (4340952).

Almost surely, 2106453230 is an apocalyptic number.

106453230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106453230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138910464).

106453230 is an abundant number, since it is smaller than the sum of its proper divisors (171367698).

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

106453230 is a wasteful number, since it uses less digits than its factorization.

106453230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 106453230 is about 10317.6174575335. The cubic root of 106453230 is about 473.9359079430.

The spelling of 106453230 in words is "one hundred six million, four hundred fifty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 195 214 321 390 535 642 1070 1391 1605 2551 2782 3210 4173 5102 6955 7653 8346 12755 13910 15306 20865 25510 33163 38265 41730 66326 76530 99489 165815 198978 272957 331630 497445 545914 818871 994890 1364785 1637742 2729570 3548441 4094355 7096882 8188710 10645323 17742205 21290646 35484410 53226615 106453230