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106453380 = 22351133143
BaseRepresentation
bin1100101100001…
…01100110000100
321102022101120210
412112011212010
5204223002010
614321355420
72431560465
oct626054604
9242271523
10106453380
11550aa000
122b798b70
1319092c87
14101d0d6c
15952bb20
hex6585984

106453380 has 192 divisors, whose sum is σ = 346300416. Its totient is φ = 24393600.

The previous prime is 106453363. The next prime is 106453381. The reversal of 106453380 is 83354601.

It is a super-2 number, since 2×1064533802 = 22664644226848800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106453381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2475639 + ... + 2475681.

It is an arithmetic number, because the mean of its divisors is an integer number (1803648).

Almost surely, 2106453380 is an apocalyptic number.

106453380 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 106453380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173150208).

106453380 is an abundant number, since it is smaller than the sum of its proper divisors (239847036).

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

106453380 is a wasteful number, since it uses less digits than its factorization.

106453380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 106453380 is about 10317.6247266510. The cubic root of 106453380 is about 473.9361305457.

The spelling of 106453380 in words is "one hundred six million, four hundred fifty-three thousand, three hundred eighty".