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106270692 = 22311805081
BaseRepresentation
bin1100101010110…
…00111111100100
321101222002222120
412111120333210
5204201130232
614313425540
72430200043
oct625307744
9241862876
10106270692
1154a94820
122b70b2b0
131902aa88
141018455a
1594e292c
hex6558fe4

106270692 has 24 divisors (see below), whose sum is σ = 270507552. Its totient is φ = 32203200.

The previous prime is 106270669. The next prime is 106270693. The reversal of 106270692 is 296072601.

It is a super-2 number, since 2×1062706922 = 22586919956317728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (106270693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402409 + ... + 402672.

It is an arithmetic number, because the mean of its divisors is an integer number (11271148).

Almost surely, 2106270692 is an apocalyptic number.

106270692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106270692 is an abundant number, since it is smaller than the sum of its proper divisors (164236860).

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

106270692 is a wasteful number, since it uses less digits than its factorization.

106270692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805099 (or 805097 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 106270692 is about 10308.7677246119. The cubic root of 106270692 is about 473.6648630668.

The spelling of 106270692 in words is "one hundred six million, two hundred seventy thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 805081 1610162 2415243 3220324 4830486 8855891 9660972 17711782 26567673 35423564 53135346 106270692