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106680380 = 22518672857
BaseRepresentation
bin1100101101111…
…01000000111100
321102201220222012
412112331000330
5204302233010
614330310352
72433524342
oct626750074
9242656865
10106680380
1155244604
122b8883b8
13191423b1
141024d992
159574005
hex65bd03c

106680380 has 24 divisors (see below), whose sum is σ = 224227248. Its totient is φ = 42634368.

The previous prime is 106680373. The next prime is 106680419. The reversal of 106680380 is 83086601.

It is a super-2 number, since 2×1066803802 = 22761406953888800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35912 + ... + 38768.

It is an arithmetic number, because the mean of its divisors is an integer number (9342802).

Almost surely, 2106680380 is an apocalyptic number.

106680380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106680380 is an abundant number, since it is smaller than the sum of its proper divisors (117546868).

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

106680380 is a wasteful number, since it uses less digits than its factorization.

106680380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 106680380 is about 10328.6194624451. The cubic root of 106680380 is about 474.2727634209.

The spelling of 106680380 in words is "one hundred six million, six hundred eighty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 1867 2857 3734 5714 7468 9335 11428 14285 18670 28570 37340 57140 5334019 10668038 21336076 26670095 53340190 106680380