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106962436 = 22717224711
BaseRepresentation
bin1100110000000…
…01111000000100
321110021020212201
412120001320010
5204340244221
614340324244
72436110560
oct630017004
9243236781
10106962436
1155417509
122b9a3684
13192108a9
14102c46a0
1595cc891
hex6601e04

106962436 has 24 divisors (see below), whose sum is σ = 226509696. Its totient is φ = 43144320.

The previous prime is 106962421. The next prime is 106962439. The reversal of 106962436 is 634269601.

It is a happy number.

It is a super-2 number, since 2×1069624362 = 22881925430108192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106962395 and 106962404.

It is not an unprimeable number, because it can be changed into a prime (106962439) 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, 111880 + ... + 112831.

It is an arithmetic number, because the mean of its divisors is an integer number (9437904).

Almost surely, 2106962436 is an apocalyptic number.

It is an amenable number.

106962436 is an abundant number, since it is smaller than the sum of its proper divisors (119547260).

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

106962436 is a wasteful number, since it uses less digits than its factorization.

106962436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224739 (or 224737 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 106962436 is about 10342.2645489274. The cubic root of 106962436 is about 474.6903777222.

The spelling of 106962436 in words is "one hundred six million, nine hundred sixty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 224711 449422 898844 1572977 3145954 3820087 6291908 7640174 15280348 26740609 53481218 106962436