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106453220 = 22541131991
BaseRepresentation
bin1100101100001…
…01100011100100
321102022101100212
412112011203210
5204223000340
614321354552
72431560146
oct626054344
9242271325
10106453220
11550a9975
122b798a58
1319092b93
14101d0c96
15952ba65
hex65858e4

106453220 has 48 divisors (see below), whose sum is σ = 230985216. Its totient is φ = 41184000.

The previous prime is 106453213. The next prime is 106453231. The reversal of 106453220 is 22354601.

It is a super-2 number, since 2×1064532202 = 22664576096736800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106925 + ... + 107915.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2106453220 is an apocalyptic number.

106453220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106453220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492608).

106453220 is an abundant number, since it is smaller than the sum of its proper divisors (124531996).

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

106453220 is a wasteful number, since it uses less digits than its factorization.

106453220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 106453220 is about 10317.6169729255. The cubic root of 106453220 is about 473.9358931028.

The spelling of 106453220 in words is "one hundred six million, four hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 410 524 655 820 991 1310 1982 2620 3964 4955 5371 9910 10742 19820 21484 26855 40631 53710 81262 107420 129821 162524 203155 259642 406310 519284 649105 812620 1298210 2596420 5322661 10645322 21290644 26613305 53226610 106453220