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106453100 = 22521326299
BaseRepresentation
bin1100101100001…
…01100001101100
321102022101012102
412112011201230
5204222444400
614321354232
72431556615
oct626054154
9242271172
10106453100
11550a9876
122b798978
1319092b00
14101d0c0c
15952b9d5
hex658586c

106453100 has 54 divisors (see below), whose sum is σ = 250179300. Its totient is φ = 39299520.

The previous prime is 106453093. The next prime is 106453129. The reversal of 106453100 is 1354601.

It is a super-2 number, since 2×1064531002 = 22664524999220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13751 + ... + 20049.

It is an arithmetic number, because the mean of its divisors is an integer number (4632950).

Almost surely, 2106453100 is an apocalyptic number.

106453100 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 106453100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125089650).

106453100 is an abundant number, since it is smaller than the sum of its proper divisors (143726200).

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

106453100 is a wasteful number, since it uses less digits than its factorization.

106453100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 106453100 is about 10317.6111576275. The cubic root of 106453100 is about 473.9357150204.

The spelling of 106453100 in words is "one hundred six million, four hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 6299 8450 12598 16900 25196 31495 62990 81887 125980 157475 163774 314950 327548 409435 629900 818870 1064531 1637740 2047175 2129062 4094350 4258124 5322655 8188700 10645310 21290620 26613275 53226550 106453100