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106706130 = 23513925589
BaseRepresentation
bin1100101110000…
…11010011010010
321102210020021220
412113003103102
5204304044010
614331025510
72433662406
oct627032322
9242706256
10106706130
1155261993
122b89b296
131915102b
1410259106
15957b970
hex65c34d2

106706130 has 32 divisors (see below), whose sum is σ = 257947200. Its totient is φ = 28249152.

The previous prime is 106706129. The next prime is 106706137. The reversal of 106706130 is 31607601.

It is a super-2 number, since 2×1067061302 = 22772396359153800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106706130.

It is not an unprimeable number, because it can be changed into a prime (106706137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8625 + ... + 16964.

It is an arithmetic number, because the mean of its divisors is an integer number (8060850).

Almost surely, 2106706130 is an apocalyptic number.

106706130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106706130 is an abundant number, since it is smaller than the sum of its proper divisors (151241070).

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

106706130 is a wasteful number, since it uses less digits than its factorization.

106706130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25738.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 106706130 is about 10329.8659236217. The cubic root of 106706130 is about 474.3109195817.

The spelling of 106706130 in words is "one hundred six million, seven hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 139 278 417 695 834 1390 2085 4170 25589 51178 76767 127945 153534 255890 383835 767670 3556871 7113742 10670613 17784355 21341226 35568710 53353065 106706130