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106045140 = 22351767419
BaseRepresentation
bin1100101001000…
…01111011010100
321101112122120210
412110201323110
5204121421030
614304525420
72425240335
oct624417324
9241478523
10106045140
1154950313
122b620870
1318c7c206
141012628c
15949abb0
hex6521ed4

106045140 has 24 divisors (see below), whose sum is σ = 296926560. Its totient is φ = 28278688.

The previous prime is 106045109. The next prime is 106045151. The reversal of 106045140 is 41540601.

It is a super-2 number, since 2×1060451402 = 22491143435239200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 883650 + ... + 883769.

It is an arithmetic number, because the mean of its divisors is an integer number (12371940).

Almost surely, 2106045140 is an apocalyptic number.

106045140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106045140 is an abundant number, since it is smaller than the sum of its proper divisors (190881420).

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

106045140 is a wasteful number, since it uses less digits than its factorization.

106045140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767431 (or 1767429 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106045140 is about 10297.8220998423. The cubic root of 106045140 is about 473.3295190241.

Adding to 106045140 its reverse (41540601), we get a palindrome (147585741).

The spelling of 106045140 in words is "one hundred six million, forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1767419 3534838 5302257 7069676 8837095 10604514 17674190 21209028 26511285 35348380 53022570 106045140