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106303860 = 223351319797
BaseRepresentation
bin1100101011000…
…01000101110100
321102000210111000
412111201011310
5204203210420
614314243300
72430365535
oct625410564
9242023430
10106303860
1155007733
122b726530
131903cbc0
141019268c
1594ec690
hex6561174

106303860 has 192 divisors, whose sum is σ = 375379200. Its totient is φ = 24758784.

The previous prime is 106303859. The next prime is 106303871. The reversal of 106303860 is 68303601.

It is a super-2 number, since 2×1063038602 = 22601021301799200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132982 + ... + 133778.

It is an arithmetic number, because the mean of its divisors is an integer number (1955100).

Almost surely, 2106303860 is an apocalyptic number.

106303860 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 106303860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187689600).

106303860 is an abundant number, since it is smaller than the sum of its proper divisors (269075340).

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

106303860 is a wasteful number, since it uses less digits than its factorization.

106303860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106303860 is about 10310.3763267885. The cubic root of 106303860 is about 473.7141362380.

The spelling of 106303860 in words is "one hundred six million, three hundred three thousand, eight hundred sixty".