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106969260 = 22354913631
BaseRepresentation
bin1100110000000…
…11100010101100
321110021121020110
412120003202230
5204341004020
614340420020
72436136506
oct630034254
9243247213
10106969260
1155421652
122b9a7610
1319213a28
14102c6d76
1595ce8e0
hex66038ac

106969260 has 48 divisors (see below), whose sum is σ = 300206592. Its totient is φ = 28459200.

The previous prime is 106969243. The next prime is 106969267. The reversal of 106969260 is 62969601.

It is a super-2 number, since 2×1069692602 = 22884845169895200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106969267) 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 15 ways as a sum of consecutive naturals, for example, 27645 + ... + 31275.

It is an arithmetic number, because the mean of its divisors is an integer number (6254304).

Almost surely, 2106969260 is an apocalyptic number.

106969260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106969260 is an abundant number, since it is smaller than the sum of its proper divisors (193237332).

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

106969260 is a wasteful number, since it uses less digits than its factorization.

106969260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 106969260 is about 10342.5944520705. The cubic root of 106969260 is about 474.7004722886.

The spelling of 106969260 in words is "one hundred six million, nine hundred sixty-nine thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 491 982 1473 1964 2455 2946 3631 4910 5892 7262 7365 9820 10893 14524 14730 18155 21786 29460 36310 43572 54465 72620 108930 217860 1782821 3565642 5348463 7131284 8914105 10696926 17828210 21393852 26742315 35656420 53484630 106969260